@misc{Reich1990,
  author    = {Reich, Sebastian},
  title     = {On a geometrical interpretation of differential-algebraic equations},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-46683},
  year      = {1990},
  abstract  = {The subject of this paper is the relation of differential-algebraic equations (DAEs) to vector fields on manifolds. For that reason, we introduce the notion of a regular DAE as a DAE to which a vector field uniquely corresponds. Furthermore, a technique is described which yields a family of manifolds for a given DAE. This socalled family of constraint manifolds allows in turn the formulation of sufficient conditions for the regularity of a DAE. and the definition of the index of a regular DAE. We also state a method for the reduction of higher-index DAEs to lowsr-index ones that can be solved without introducing additional constants of integration. Finally, the notion of realizability of a given vector field by a regular DAE is introduced, and it is shown that any vector field can be realized by a regular DAE. Throughout this paper the problem of path-tracing is discussed as an illustration of the mathematical phenomena.},
  language  = {en}
}
@article{Denecke1991,
  author    = {Denecke, Klaus-Dieter},
  title     = {Congruences on maximal partial clones and strong regular varieties generated by preprimal partial algebras II},
  year      = {1991},
  language  = {en}
}
@article{Denecke1991,
  author    = {Denecke, Klaus-Dieter},
  title     = {Strong regular varieties of partial algebras I},
  year      = {1991},
  language  = {en}
}
@article{Denecke1991,
  author    = {Denecke, Klaus-Dieter},
  title     = {Minimal algebras and category equivalences},
  year      = {1991},
  language  = {en}
}
@misc{Reich1991,
  author    = {Reich, Sebastian},
  title     = {On an existence and uniqueness theory for nonlinear differential-algebraic equations},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-46706},
  year      = {1991},
  abstract  = {An existence and uniqueness theory is developed for general nonlinear and nonautonomous differential-algebraic equations (DAEs) by exploiting their underlying differential-geometric structure. A DAE is called regular if there is a unique nonautonomous vector field such that the solutions of the DAE and the solutions of the vector field are in one-to-one correspondence. Sufficient conditions for regularity of a DAE are derived in terms of constrained manifolds. Based on this differential-geometric characterization, existence and uniqueness results are stated for regular DAEs. Furthermore, our not ons are compared with techniques frequently used in the literature such as index and solvability. The results are illustrated in detail by means of a simple circuit example.},
  language  = {en}
}
@misc{Reich1992,
  author    = {Reich, Sebastian},
  title     = {Differential-algebraic equations and applications in circuit theory},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-46646},
  year      = {1992},
  abstract  = {Technical and physical systems, especially electronic circuits, are frequently modeled as a system of differential and nonlinear implicit equations. In the literature such systems of equations are called differentialalgebraic equations (DAEs). It turns out that the numerical and analytical properties of a DAE depend on an integer called the index of the problem. For example, the well-known BDF method of Gear can be applied, in general, to a DAE only if the index does not exceed one. In this paper we give a geometric interpretation of higherindex DAEs and indicate problems arising in connection with such DAEs by means of several examples.},
  language  = {en}
}
@book{SchmidtWang1992,
  author    = {Schmidt, Hans-J{\"u}rgen and Wang, Anzhong},
  title     = {Plane domain walls when coupled with the Brans-Dicke scalar field},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 06},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {27 S.},
  year      = {1992},
  language  = {en}
}
@book{Kasper1992,
  author    = {Kasper, Uwe},
  title     = {On the phenomenological description of particle and entropy creation},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 07},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {10 S.},
  year      = {1992},
  language  = {en}
}
@article{Braunss1992,
  author    = {Braunß, Hans-Andreas},
  title     = {On holomorphic mappings of Schatten class type},
  year      = {1992},
  language  = {en}
}
@book{Boeckmann1992,
  author    = {B{\"o}ckmann, Christine},
  title     = {A modification of the Trust-Region Gauss-Newton method to solve separable nonlinear least squares problems},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 17},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {14 Bl.},
  year      = {1992},
  language  = {en}
}
@book{Boeckmann1992,
  author    = {B{\"o}ckmann, Christine},
  title     = {Curve fitting and identification of physical spectra},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 18},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {17 Bl.},
  year      = {1992},
  language  = {en}
}
@book{Schmidt1992,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {On inflation within closed Fiedmann universe models},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 02},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {9 Bl.},
  year      = {1992},
  language  = {en}
}
@book{Schmidt1992,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Scale-invariant gravity in two dimensions II},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 03},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {[3] Bl.},
  year      = {1992},
  language  = {en}
}
@article{AmendolaBattagliaMayerCapozzielloetal.1992,
  author    = {Amendola, Luca and Battaglia Mayer, Alexandra and Capozziello, Salvatore and Gottl{\"o}ber, Stefan and M{\"u}ller, Volker and Occhionero, Franco and Schmidt, Hans-J{\"u}rgen},
  title     = {Generalized sixth-order gravity and inflation},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 04},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {7 S.},
  year      = {1992},
  language  = {en}
}
@book{Rainer1992,
  author    = {Rainer, Martin},
  title     = {Projective geometry for relativistic quantum physics},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 05},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {11 Bl.},
  year      = {1992},
  language  = {en}
}
@article{GottloeberSchmidtStarobinskyetal.1992,
  author    = {Gottl{\"o}ber, Stefan and Schmidt, Hans-J{\"u}rgen and Starobinsky, A. A. and M{\"u}ller, Volker},
  title     = {Models of chaotic inflation},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 08},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {24 S.},
  year      = {1992},
  language  = {en}
}
@book{Schmidt1992,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {On the de Sitter space-time : the geometric foundation of infaltionary cosmology},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 10},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {43 S.},
  year      = {1992},
  language  = {en}
}
@book{ReuterSchmidt1992,
  author    = {Reuter, Stefan and Schmidt, Hans-J{\"u}rgen},
  title     = {On the Wheeler-de Witt equation for homogeneous cosmological models},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 11},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {16 Bl.},
  year      = {1992},
  language  = {en}
}
@book{Kasper1992,
  author    = {Kasper, Uwe},
  title     = {Particle and entropy creation in cosmology},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 13},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {5 Bl.},
  year      = {1992},
  language  = {en}
}
@book{Junek1992,
  author    = {Junek, Heinz},
  title     = {Factorization of operator ideals and boundes sets in tensor products of locally convex spaces},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1992, 16},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {14 Bl.},
  year      = {1992},
  language  = {en}
}
@book{OPUS4-28852,
  title     = {General algebra and applications},
  series = {Research and exposition in mathematics},
  volume    = {20},
  journal   = {Research and exposition in mathematics},
  editor    = {Denecke, Klaus-Dieter},
  publisher = {Heldermann},
  address   = {Berlin},
  isbn      = {3-88538-220-2},
  pages     = {237 S. : Ill.},
  year      = {1993},
  language  = {en}
}
@book{BattagliaMayerSchmidt1993,
  author    = {Battaglia Mayer, Alexandra and Schmidt, Hans-J{\"u}rgen},
  title     = {The de Sitter space-time as attractor solution in eighth order gravity},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1993, 05},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {9 S.},
  year      = {1993},
  language  = {en}
}
@article{JonasLanger1993,
  author    = {Jonas, Peter and Langer, Heinz},
  title     = {Selfadjoint extensions of a closed linear relation of defect one in a Krein space},
  year      = {1993},
  language  = {en}
}
@article{LouisMaass1993,
  author    = {Louis, Alfred K. and Maaß, Peter},
  title     = {Contour reconstructions for 3D X-Ray CT-Images},
  year      = {1993},
  language  = {en}
}
@book{Schmidt1993,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Comment to a paper by J. Simon in Phys. Rev. D 45 (1992) 1953},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1993, 06},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {23 Bl.},
  year      = {1993},
  language  = {en}
}
@book{Rainer1993,
  author    = {Rainer, Martin},
  title     = {Orientation duality of 4-dimensional real Lie algebras},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1993, 08},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {23 Bl.},
  year      = {1993},
  language  = {en}
}
@book{Baumgaertel1993,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Some operatoralgebraic fundamentals of the algebraic quantum field theory},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1993, 09},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {43 Bl.},
  year      = {1993},
  language  = {en}
}
@article{Junek1993,
  author    = {Junek, Heinz},
  title     = {Factorization of operator ideals and the BB-property},
  year      = {1993},
  language  = {en}
}
@article{Denecke1994,
  author    = {Denecke, Klaus-Dieter},
  title     = {On the characterization of primal partial algebras by strong regular hyperidentities},
  year      = {1994},
  language  = {en}
}
@article{DeneckeHalkowska1994,
  author    = {Denecke, Klaus-Dieter and Halkowska, Katarzcyna},
  title     = {P-compatible hybrid-identities and hyperidentities},
  year      = {1994},
  language  = {en}
}
@article{DeneckeMalcev1994,
  author    = {Denecke, Klaus-Dieter and Malcev, I. A.},
  title     = {Separation of clones by means of hyperidentities},
  year      = {1994},
  language  = {en}
}
@article{DeneckeWismath1994,
  author    = {Denecke, Klaus-Dieter and Wismath, Shelly},
  title     = {Solid varieties of semigroups},
  year      = {1994},
  language  = {en}
}
@article{DeneckeKoppitz1994,
  author    = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg},
  title     = {Hyperassociative semigroups},
  year      = {1994},
  language  = {en}
}
@article{Denecke1994,
  author    = {Denecke, Klaus-Dieter},
  title     = {Pre-solid varieties},
  year      = {1994},
  language  = {en}
}
@misc{AscherChinReich1994,
  author    = {Ascher, Uri M. and Chin, Hongsheng and Reich, Sebastian},
  title     = {Stabilization of DAEs and invariant manifolds},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15625},
  year      = {1994},
  abstract  = {Many methods have been proposed for the stabilization of higher index differential-algebraic equations (DAEs). Such methods often involve constraint differentiation and problem stabilization, thus obtaining a stabilized index reduction. A popular method is Baumgarte stabilization, but the choice of parameters to make it robust is unclear in practice. Here we explain why the Baumgarte method may run into trouble. We then show how to improve it. We further develop a unifying theory for stabilization methods which includes many of the various techniques proposed in the literature. Our approach is to (i) consider stabilization of ODEs with invariants, (ii) discretize the stabilizing term in a simple way, generally different from the ODE discretization, and (iii) use orthogonal projections whenever possible. The best methods thus obtained are related to methods of coordinate projection. We discuss them and make concrete algorithmic suggestions.},
  language  = {en}
}
@misc{LeimkuhlerReich1994,
  author    = {Leimkuhler, Benedict and Reich, Sebastian},
  title     = {Symplectic integration of constrained Hamiltonian systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15653},
  year      = {1994},
  abstract  = {A Hamiltonian system in potential form (formula in the original abstract) subject to smooth constraints on q can be viewed as a Hamiltonian system on a manifold, but numerical computations must be performed in Rn. In this paper methods which reduce "Hamiltonian differential algebraic equations" to ODEs in Euclidean space are examined. The authors study the construction of canonical parameterizations or local charts as well as methods based on the construction of ODE systems in the space in which the constraint manifold is embedded which preserve the constraint manifold as an invariant manifold. In each case, a Hamiltonian system of ordinary differential equations is produced. The stability of the constraint invariants and the behavior of the original Hamiltonian along solutions are investigated both numerically and analytically.},
  language  = {en}
}
@misc{AscherChinPetzoldetal.1994,
  author    = {Ascher, Uri M. and Chin, Hongsheng and Petzold, Linda R. and Reich, Sebastian},
  title     = {Stabilization of constrained mechanical systems with DAEs and invariant manifolds},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15698},
  year      = {1994},
  abstract  = {Many methods have been proposed for the simulation of constrained mechanical systems. The most obvious of these have mild instabilities and drift problems. Consequently, stabilization techniques have been proposed A popular stabilization method is Baumgarte's technique, but the choice of parameters to make it robust has been unclear in practice. Some of the simulation methods that have been proposed and used in computations are reviewed here, from a stability point of view. This involves concepts of differential-algebraic equation (DAE) and ordinary differential equation (ODE) invariants. An explanation of the difficulties that may be encountered using Baumgarte's method is given, and a discussion of why a further quest for better parameter values for this method will always remain frustrating is presented. It is then shown how Baumgarte's method can be improved. An efficient stabilization technique is proposed, which may employ explicit ODE solvers in case of nonstiff or highly oscillatory problems and which relates to coordinate projection methods. Examples of a two-link planar robotic arm and a squeezing mechanism illustrate the effectiveness of this new stabilization method.},
  language  = {en}
}
@misc{Reich1994,
  author    = {Reich, Sebastian},
  title     = {Momentum conserving symplectic integrators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-16824},
  year      = {1994},
  abstract  = {In this paper, we show that symplectic partitioned Runge-Kutta methods conserve momentum maps corresponding to linear symmetry groups acting on the phase space of Hamiltonian differential equations by extended point transformation. We also generalize this result to constrained systems and show how this conservation property relates to the symplectic integration of Lie-Poisson systems on certain submanifolds of the general matrix group GL(n).},
  language  = {en}
}
@book{Schmidt1994,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Why do all the curvature invariants of a gravitational wave vanish?},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 03},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {7 Bl.},
  year      = {1994},
  language  = {en}
}
@book{DahlkeMaass1994,
  author    = {Dahlke, Stephan and Maaß, Peter},
  title     = {The affine uncertainty principle in one and two dimensions},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1994, 01},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {17 Bl.},
  year      = {1994},
  language  = {en}
}
@book{Wollenberg1994,
  author    = {Wollenberg, Manfred},
  title     = {On an inverse problem in modular theory},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 07},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {14 S.},
  year      = {1994},
  language  = {en}
}
@book{DahlkeMaass1994,
  author    = {Dahlke, Stephan and Maaß, Peter},
  title     = {A continuous wavelet transform on tangent bundles of spheres},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 16},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {18 Bl.},
  year      = {1994},
  language  = {en}
}
@book{Kasper1994,
  author    = {Kasper, Uwe},
  title     = {On first class sonstraints of simple cosmological models in Einstein's gravity theory},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 10},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {11 Bl.},
  year      = {1994},
  language  = {en}
}
@book{Schmidt1994,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Stability and Hamiltonian formulation of higher derivative theories},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 04},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {37 Bl.},
  year      = {1994},
  language  = {en}
}
@book{Rainer1994,
  author    = {Rainer, Martin},
  title     = {Conformal minisuperspace quantization and equivalence of multidimensional classical and quantum models : lecuture presented at the International Conference on Multidimensional Cosmology, Jaroslavl, June 20-26, 1994},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 09},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {20 Bl.},
  year      = {1994},
  language  = {en}
}
@book{Baumgaertel1994,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {A modified approach to the Doplicher-Roberts theorem on the construction of field algebra and the symmetry group in superselection theory},
  series = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  volume    = {134},
  journal   = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  address   = {Berlin},
  pages     = {33 S.},
  year      = {1994},
  language  = {en}
}
@book{Kasper1994,
  author    = {Kasper, Uwe},
  title     = {On the Hamilton formalism for cosmological models in fourth order gravity theories},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 11},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  address   = {Potsdam},
  year      = {1994},
  language  = {en}
}
@book{NeidhardtZagrebnov1994,
  author    = {Neidhardt, Hagen and Zagrebnov, Valentin A.},
  title     = {Mathematical results in quantum mechanics : international conference in Blossin (Germany), May 17 - 21, 1993},
  series = {Operator Theory},
  volume    = {70},
  journal   = {Operator Theory},
  editor    = {Demuth, Michael and Exner, Pavel},
  publisher = {Birkh{\"a}user},
  address   = {Basel},
  pages     = {X, 356 S.},
  year      = {1994},
  language  = {en}
}
@article{GaehlerGaehler1994,
  author    = {G{\"a}hler, Siegfried and G{\"a}hler, Werner},
  title     = {Fuzzy real numbers},
  year      = {1994},
  language  = {en}
}
@article{LouisMaassRiederetal.1994,
  author    = {Louis, Alfred K. and Maaß, Peter and Rieder, Andreas and Stark, H.-G.},
  title     = {Wavelets and digital image processing},
  year      = {1994},
  language  = {en}
}
@article{JaksicJungKleinetal.1994,
  author    = {Jaksic, V. and Jung, K. and Klein, Markus and Seiler, R.},
  title     = {Corrections to quantized charge transport in quantum hall systems},
  year      = {1994},
  language  = {en}
}
@book{BaumgaertelJurkeLledo1994,
  author    = {Baumg{\"a}rtel, Hellmut and Jurke, Matthias and Lled{\´o}, Fernando},
  title     = {A remark on covariant and causal nets of CAR-resp.CCR-type local algebras assigned to the irreducible unitary representation of the poincare group labeled by (m>0, s, +)},
  series = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  volume    = {120},
  journal   = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  address   = {Berlin},
  year      = {1994},
  language  = {en}
}
@article{Klein1994,
  author    = {Klein, Markus},
  title     = {Hall conductance of Riemann surfaces},
  year      = {1994},
  language  = {en}
}
@misc{Klotzek1994,
  author    = {Klotzek, Benno},
  title     = {Falkner, N., A characterization of inner product spaces},
  year      = {1994},
  language  = {en}
}
@book{Schmidt1994,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {An alternate Hamiltonian formulation of fourth-order theories},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1994, 12},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  year      = {1994},
  language  = {en}
}
@phdthesis{Rainer1994,
  author    = {Rainer, Martin},
  title     = {The topology of the space of real LIE algebras up to dimension 4 with applications to homogeneous cosmological models},
  publisher = {Univ.},
  pages     = {93 S.},
  year      = {1994},
  language  = {en}
}
@article{Maass1994,
  author    = {Maaß, Peter},
  title     = {Wavelet galerkin methods for inverse problems},
  year      = {1994},
  language  = {en}
}
@article{NeidhardtZagrebnov1994,
  author    = {Neidhardt, Hagen and Zagrebnov, Valentin A.},
  title     = {Singular perturbations, regularization and extension theory},
  year      = {1994},
  language  = {en}
}
@misc{Quaisser1994,
  author    = {Quaisser, Erhard},
  title     = {Kuperberg, W., Discrete and Computational Geometry, 12 (1994), S. 83 - 90},
  year      = {1994},
  language  = {en}
}
@article{Schmidt1994,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Comment on stability of the semiclassical Einstein equation},
  year      = {1994},
  language  = {en}
}
@article{Schmidt1994,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Stability and Hamiltonian formulation of higher derivative theories},
  year      = {1994},
  language  = {en}
}
@book{OPUS4-28616,
  title     = {Statistics : a journal of theoretical and applied statistics},
  editor    = {L{\"a}uter, Henning},
  publisher = {Gordon \& Breach Science Publ.},
  address   = {Reading Berkshire [u.a.]},
  issn      = {0233-1888},
  year      = {1994},
  language  = {en}
}
@article{BrascheNeidhardt1994,
  author    = {Brasche, Johannes F. and Neidhardt, Hagen},
  title     = {Some remarks to Krein's extension theory},
  year      = {1994},
  language  = {en}
}
@article{BrascheKoshmanenkoNeidhardt1994,
  author    = {Brasche, Johannes F. and Koshmanenko, V. D. and Neidhardt, Hagen},
  title     = {Some new aspects of Krein's extension theory},
  year      = {1994},
  language  = {en}
}
@article{SchroheSchulze1994,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Boundary value problems in Boutet de Monvel{\"i}s algebra for manifolds with conical singularities I},
  year      = {1994},
  language  = {en}
}
@article{SchulzeSterninSatalov1994,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Resurgent analysis and differential equations with singularities},
  year      = {1994},
  language  = {en}
}
@article{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The variable discrete asymptotics in pseudo-differential boundary value problems},
  year      = {1994},
  language  = {en}
}
@article{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential operators, ellipticity and asymptotics on manifolds with edges},
  year      = {1994},
  language  = {en}
}
@article{DorschfeldtSchulze1994,
  author    = {Dorschfeldt, Christoph and Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential operators with operator-valued symbols in the Mellin-edge-approach},
  year      = {1994},
  language  = {en}
}
@book{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential boundary value problems, conical singularities, and asymptotics},
  series = {Mathematical topics},
  volume    = {4},
  journal   = {Mathematical topics},
  publisher = {Akad.-Verl.},
  address   = {Berlin},
  isbn      = {3-05-501597-5},
  pages     = {580 S.},
  year      = {1994},
  language  = {en}
}
@article{DeneckePlonka1995,
  author    = {Denecke, Klaus-Dieter and Plonka, J.},
  title     = {Regularization and normalization of solid varieties},
  year      = {1995},
  language  = {en}
}
@article{DeneckeReichel1995,
  author    = {Denecke, Klaus-Dieter and Reichel, Mario},
  title     = {Monoids of hypersubstitutions and m-solid varieties},
  year      = {1995},
  language  = {en}
}
@article{DeneckePlonka1995,
  author    = {Denecke, Klaus-Dieter and Plonka, J.},
  title     = {Edge-solid varieties},
  year      = {1995},
  language  = {en}
}
@article{DeneckeMalcevReschke1995,
  author    = {Denecke, Klaus-Dieter and Malcev, I. A. and Reschke, M.},
  title     = {On separation of Boolean clones by means of hyperidentities},
  year      = {1995},
  language  = {en}
}
@article{DeneckeKoppitz1995,
  author    = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg},
  title     = {Pre-solid varieties of commutative semigroups},
  year      = {1995},
  language  = {en}
}
@article{DeneckeKoppitz1995,
  author    = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg},
  title     = {M-solid varieties of semigroups},
  year      = {1995},
  language  = {en}
}
@article{DeneckeKoppitz1995,
  author    = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg},
  title     = {Pre-solid varieties of semigroups},
  year      = {1995},
  language  = {en}
}
@article{Denecke1995,
  author    = {Denecke, Klaus-Dieter},
  title     = {Hybrid identities and hybrid equational logic},
  year      = {1995},
  language  = {en}
}
@article{Denecke1995,
  author    = {Denecke, Klaus-Dieter},
  title     = {Clones and hyperidentities},
  year      = {1995},
  language  = {en}
}
@article{DeneckeLueders1995,
  author    = {Denecke, Klaus-Dieter and L{\"u}ders, Otfried},
  title     = {Category equivalences of clones},
  year      = {1995},
  language  = {en}
}
@article{DeneckeLauPoescheletal.1995,
  author    = {Denecke, Klaus-Dieter and Lau, Dietlinde and P{\"o}schel, Reinhard and Schweigert, D.},
  title     = {Free clones and solid varieties},
  year      = {1995},
  language  = {en}
}
@misc{Reich1995,
  author    = {Reich, Sebastian},
  title     = {Smoothed dynamics of highly oscillatory Hamiltonian systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15639},
  year      = {1995},
  abstract  = {We consider the numerical treatment of Hamiltonian systems that contain a potential which grows large when the system deviates from the equilibrium value of the potential. Such systems arise, e.g., in molecular dynamics simulations and the spatial discretization of Hamiltonian partial differential equations. Since the presence of highly oscillatory terms in the solutions forces any explicit integrator to use very small step size, the numerical integration of such systems provides a challenging task. It has been suggested before to replace the strong potential by a holonomic constraint that forces the solutions to stay at the equilibrium value of the potential. This approach has, e.g., been successfully applied to the bond stretching in molecular dynamics simulations. In other cases, such as the bond-angle bending, this methods fails due to the introduced rigidity. Here we give a careful analysis of the analytical problem by means of a smoothing operator. This will lead us to the notion of the smoothed dynamics of a highly oscillatory Hamiltonian system. Based on our analysis, we suggest a new constrained formulation that maintains the flexibility of the system while at the same time suppressing the high-frequency components in the solutions and thus allowing for larger time steps. The new constrained formulation is Hamiltonian and can be discretized by the well-known SHAKE method.},
  language  = {en}
}
@misc{Reich1995,
  author    = {Reich, Sebastian},
  title     = {On the local qualitative behavior of differential-algebraic equations},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-46739},
  year      = {1995},
  abstract  = {A theoretical famework for the investigation of the qualitative behavior of differential-algebraic equations (DAEs) near an equilibrium point is established. The key notion of our approach is the notion of regularity. A DAE is called regular locally around an equilibrium point if there is a unique vector field such that the solutions of the DAE and the vector field are in one-to-one correspondence in a neighborhood of this equili Drium point. Sufficient conditions for the regularity of an equilibrium point are stated. This in turn allows us to translate several local results, as formulated for vector fields, to DAEs that are regular locally around a g: ven equilibrium point (e.g. Local Stable and Unstable Manifold Theorem, Hopf theorem). It is important that ihese theorems are stated in terms of the given problem and not in terms of the corresponding vector field.},
  language  = {en}
}
@book{KonakovLaeuterLiero1995,
  author    = {Konakov, Valentin S. and L{\"a}uter, Henning and Liero, Hannelore},
  title     = {Nonparametric versus parametric goodness of fit},
  series = {Discussion Paper / Humboldt-Universit{\"a}t zu Berlin, Institut f{\"u}r Mathematik, SFB 373},
  volume    = {49},
  journal   = {Discussion Paper / Humboldt-Universit{\"a}t zu Berlin, Institut f{\"u}r Mathematik, SFB 373},
  address   = {Berlin},
  year      = {1995},
  language  = {en}
}
@book{Schmidt1995,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {An alternate Hamiltonian formulation of fourth-order theories},
  address   = {Potsdam},
  year      = {1995},
  language  = {en}
}
@article{Schmidt1995,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {Comment on conformal transformations single out a unique measure of distance},
  year      = {1995},
  language  = {en}
}
@book{Schmidt1995,
  author    = {Schmidt, Hans-J{\"u}rgen},
  title     = {How to measure spatial distances?},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1995, 10},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {4 Bl.},
  year      = {1995},
  language  = {en}
}
@article{GaehlerBayoumiKandiletal.1995,
  author    = {G{\"a}hler, Werner and Bayoumi, Fatma and Kandil, Anwar and Nouh, Ali},
  title     = {The theory of general fuzzy neighborhood structures, part I},
  year      = {1995},
  language  = {en}
}
@misc{Schrohe1995,
  author    = {Schrohe, Elmar},
  title     = {Schulze, B.-W., Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics; Berlin, Akademie-Verl., 1995},
  year      = {1995},
  language  = {en}
}
@article{BrascheNeidhardt1995,
  author    = {Brasche, Johannes F. and Neidhardt, Hagen},
  title     = {On the point spectrum of selfadjoint extensions},
  year      = {1995},
  language  = {en}
}
@book{Junek1995,
  author    = {Junek, Heinz},
  title     = {Closed ideals of polynomials},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {10 S.},
  year      = {1995},
  language  = {en}
}
@phdthesis{Dorschfeldt1995,
  author    = {Dorschfeldt, Christoph},
  title     = {An algebra of mellin pseudo-differential operators near corner singularities},
  address   = {Potsdam},
  pages     = {169 S.},
  year      = {1995},
  language  = {en}
}
@article{SchmidtKasperKluskeetal.1995,
  author    = {Schmidt, Hans-J{\"u}rgen and Kasper, Uwe and Kluske, Sabine and Rainer, Martin and Reuter, Stefan},
  title     = {Stability properties of the Starobinsky cosmological model},
  year      = {1995},
  language  = {en}
}
@phdthesis{Behm1995,
  author    = {Behm, Sebastian},
  title     = {Pseudo-differential operators with parameters on manifolds with edges},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {149 Bl.},
  year      = {1995},
  language  = {en}
}
@book{Baumgaertel1995,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Operatoralgebraic methods in quantum field theory : a series of lectures},
  publisher = {Akademie Verl.},
  address   = {Berlin},
  pages     = {228 S.},
  year      = {1995},
  language  = {en}
}
@article{Baumgaertel1995,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Fourier transformation of Hilbert C*-systems, with compact groups, by their regular representation},
  year      = {1995},
  language  = {en}
}
@article{BaumgaertelJurkeLledo1995,
  author    = {Baumg{\"a}rtel, Hellmut and Jurke, Matthias and Lled{\´o}, Fernando},
  title     = {On free nets over Minkowski space},
  year      = {1995},
  language  = {en}
}
@article{Baumgaertel1995,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {On Haag dual nets over compact spaces},
  year      = {1995},
  language  = {en}
}
@article{Boeckmann1995,
  author    = {B{\"o}ckmann, Christine},
  title     = {A modification of the trust-region Gauss-Newton method to solve separable nonlinear least squares problems},
  year      = {1995},
  language  = {en}
}
@article{BrascheNeidhardt1995,
  author    = {Brasche, Johannes F. and Neidhardt, Hagen},
  title     = {On the absolutely continuous spectrum of self-adjoint extensions},
  year      = {1995},
  language  = {en}
}