@unpublished{Eckstein2006,
  author    = {Eckstein, Lars},
  title     = {Performing jazz, defying essence},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-85574},
  pages     = {15},
  year      = {2006},
  language  = {en}
}
@unpublished{Laeuter2006,
  author    = {L{\"a}uter, Henning},
  title     = {On approximate likelihood in survival models},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51615},
  year      = {2006},
  abstract  = {We give a common frame for different estimates in survival models. For models with nuisance parameters we approximate the profile likelihood and find estimates especially for the proportional hazard model.},
  language  = {en}
}
@unpublished{LieroLiero2006,
  author    = {Liero, Hannelore and Liero, Matthias},
  title     = {Testing the acceleration function in life time models},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49405},
  year      = {2006},
  abstract  = {The accelerated life time model is considered. First, test procedures for testing the parameter of a parametric acceleration function is investigated; this is done under the assumption of parametric and nonparametric baseline distribution. Further, based on nonparametric estimators for regression functions tests are proposed for checking whether a parametric acceleration function is appropriate to model the influence of the covariates. Resampling procedures are discussed for the realization of these methods. Simulations complete the considerations.},
  language  = {en}
}
@unpublished{Liero2006,
  author    = {Liero, Hannelore},
  title     = {A Note on : testing the Copula Based on Densities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49393},
  year      = {2006},
  abstract  = {We consider the problem of testing whether the density of a mul- tivariate random variable can be expressed by a prespecified copula function and the marginal densities. The proposed test procedure is based on the asymptotic normality of the properly standardized integrated squared distance between a multivariate kernel density estimator and an estimator of its expectation under the hypothesis. The test of independence is a special case of this approach.},
  language  = {en}
}
@unpublished{Gosson2006,
  author    = {Gosson, Maurice A. de},
  title     = {Symplectic geometry, Wigner-Weyl-Moyal calculus, and quantum mechanics in phase space},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30212},
  year      = {2006},
  abstract  = {Contents: Part I: Symplectic Geometry Chapter 1: Symplectic Spaces and Lagrangian Planes Chapter 2: The Symplectic Group Chapter 3: Multi-Oriented Symplectic Geometry Chapter 4: Intersection Indices in Lag(n) and Sp(n) Part II: Heisenberg Group, Weyl Calculus, and Metaplectic Representation Chapter 5: Lagrangian Manifolds and Quantization Chapter 6: Heisenberg Group and Weyl Operators Chapter 7: The Metaplectic Group Part III: Quantum Mechanics in Phase Space Chapter 8: The Uncertainty Principle Chapter 9: The Density Operator Chapter 10: A Phase Space Weyl Calculus},
  language  = {en}
}
@unpublished{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential calculus on manifolds with geometric singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30204},
  year      = {2006},
  abstract  = {Differential and pseudo-differential operators on a manifold with (regular) geometric singularities can be studied within a calculus, inspired by the concept of classical pseudo-differential operators on a C1 manifold. In the singular case the operators form an algebra with a principal symbolic hierarchy σ = (σj)0≤j≤k, with k being the order of the singularity and σk operator-valued for k ≥ 1. The symbols determine ellipticity and the nature of parametrices. It is typical in this theory that, similarly as in boundary value problems (which are special edge problems, where the edge is just the boundary), there are trace, potential and Green operators, associated with the various strata of the configuration. The operators, obtained from the symbols by various quantisations, act in weighted distribution spaces with multiple weights. We outline some essential elements of this calculus, give examples and also comment on new challenges and interesting problems of the recent development.},
  language  = {en}
}
@unpublished{MaergoizTarkhanov2006,
  author    = {Maergoiz, L. and Tarkhanov, Nikolai Nikolaevich},
  title     = {Optimal recovery from a finite set in Banach spaces of entire functions},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30199},
  year      = {2006},
  abstract  = {We develop an approach to the problem of optimal recovery of continuous linear functionals in Banach spaces through information on a finite number of given functionals. The results obtained are applied to the problem of the best analytic continuation from a finite set in the complex space Cn, n ≥ 1, for classes of entire functions of exponential type which belong to the space Lp, 1 < p < 1, on the real subspace of Cn. These latter are known as Wiener classes.},
  language  = {en}
}
@unpublished{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Elliptic differential operators on manifolds with edges},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30188},
  year      = {2006},
  abstract  = {On a manifold with edge we construct a specific class of (edgedegenerate) elliptic differential operators. The ellipticity refers to the principal symbolic structure σ = (σψ, σ^) of the edge calculus consisting of the interior and edge symbol, denoted by σψ and σ^, respectively. For our choice of weights the ellipticity will not require additional edge conditions of trace or potential type, and the operators will induce isomorphisms between the respective edge spaces.},
  language  = {en}
}
@unpublished{BrauerKarp2006,
  author    = {Brauer, Uwe and Karp, Lavi},
  title     = {Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30175},
  year      = {2006},
  abstract  = {We prove the existence of a class of local in time solutions, including static solutions, of the Einstein-Euler system. This result is the relativistic generalisation of a similar result for the Euler-Poisson system obtained by Gamblin [8]. As in his case the initial data of the density do not have compact support but fall off at infinity in an appropriate manner. An essential tool in our approach is the construction and use of weighted Sobolev spaces of fractional order. Moreover, these new spaces allow us to improve the regularity conditions for the solutions of evolution equations. The details of this construction, the properties of these spaces and results on elliptic and hyperbolic equations will be presented in a forthcoming article.},
  language  = {en}
}
@unpublished{Fedosov2006,
  author    = {Fedosov, B.},
  title     = {On a spectral theorem for deformation quantization},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30161},
  year      = {2006},
  abstract  = {We give a construction of an eigenstate for a non-critical level of the Hamiltonian function, and investigate the contribution of Morse critical points to the spectral decomposition. We compare the rigorous result with the series obtained by a perturbation theory. As an example the relation to the spectral asymptotics is discussed.},
  language  = {en}
}
@unpublished{Karp2006,
  author    = {Karp, Lavi},
  title     = {On null quadrature domains},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30156},
  year      = {2006},
  abstract  = {The characterization of null quadrature domains in Rn (n ≥ 3) has been an open problem throughout the past two and a half decades. A substantial contribution was done by Friedman and Sakai [10]; they showed that if the complement is bounded, then null quadrature domains are exactly the complement of ellip- soids. The first result with unbounded complements appeared in [15], there it is assumed the complement is contained in an infinitely cylinder. The aim of this paper is to show the relation between null quadrature domains and Newton's theorem on the gravitational force induced by homogeneous homoeoidal ellipsoids. We also succeed to make progress in the classification problem and we show that if the boundary of null quadrature domain is contained in a strip and the complement satisfies a certain capacity condition at infinity, then it must be a half-space or a complement of a strip. In addition, we present a Phragm\Pen-Lindel{\"o}f type theorem which seems to be forgotten in the literature.},
  language  = {en}
}
@unpublished{DenkKrainer2006,
  author    = {Denk, Robert and Krainer, Thomas},
  title     = {R-Boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30147},
  year      = {2006},
  abstract  = {It is shown that an elliptic scattering operator A on a compact manifold with boundary with operator valued coefficients in the morphisms of a bundle of Banach spaces of class (HT ) and Pisier's property (α) has maximal regularity (up to a spectral shift), provided that the spectrum of the principal symbol of A on the scattering cotangent bundle avoids the right half-plane. This is accomplished by representing the resolvent in terms of pseudodifferential operators with R-bounded symbols, yielding by an iteration argument the R-boundedness of λ(A - λ)-1 in R(λ)≥ τ for some τ ∈ IR. To this end, elements of a symbolic and operator calculus of pseudodifferential operators with R-bounded symbols are introduced. The significance of this method for proving maximal regularity results for partial differential operators is underscored by considering also a more elementary situation of anisotropic elliptic operators on Rd with operator valued coefficients.},
  language  = {en}
}
@unpublished{Paneah2006,
  author    = {Paneah, Boris},
  title     = {Another approach to the stability of linear functional operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30139},
  year      = {2006},
  abstract  = {Contents: 1 Introduction. 2 The main notations and notions. 3 Statement of results 4 Proofs of the main results.},
  language  = {en}
}
@unpublished{KrupchykTarkhanovTuomela2006,
  author    = {Krupchyk, K. and Tarkhanov, Nikolai Nikolaevich and Tuomela, J.},
  title     = {Elliptic quasicomplexes in Boutet de Monvel algebra},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30122},
  year      = {2006},
  abstract  = {We consider quasicomplexes of Boutet de Monvel operators in Sobolev spaces on a smooth compact manifold with boundary. To each quasicomplex we associate two complexes of symbols. One complex is defined on the cotangent bundle of the manifold and the other on that of the boundary. The quasicomplex is elliptic if these symbol complexes are exact away from the zero sections. We prove that elliptic quasicomplexes are Fredholm. As a consequence of this result we deduce that a compatibility complex for an overdetermined elliptic boundary problem operator is also Fredholm. Moreover, we introduce the Euler characteristic for elliptic quasicomplexes of Boutet de Monvel operators.},
  language  = {en}
}
@unpublished{Tarkhanov2006,
  author    = {Tarkhanov, Nikolai Nikolaevich},
  title     = {Euler characteristic of Fredholm quasicomplexes},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30117},
  year      = {2006},
  abstract  = {By quasicomplexes are usually meant perturbations of complexes small in some sense. Of interest are not only perturbations within the category of complexes but also those going beyond this category. A sequence perturbed in this way is no longer a complex, and so it bears no cohomology. We show how to introduce Euler characteristic for small perturbations of Fredholm complexes. The paper is to appear in Funct. Anal. and its Appl., 2006.},
  language  = {en}
}
@unpublished{HarutyunyanSchulze2006,
  author    = {Harutyunyan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Boundary value problems in weighted edge spaces},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30104},
  year      = {2006},
  abstract  = {We study elliptic boundary value problems in a wedge with additional edge conditions of trace and potential type. We compute the (difference of the) number of such conditions in terms of the Fredholm index of the principal edge symbol. The task will be reduced to the case of special opening angles, together with a homotopy argument.},
  language  = {en}
}
@unpublished{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The structure of operators on manifolds with polyhedral singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30099},
  year      = {2006},
  abstract  = {We discuss intuitive ideas and historical background of concepts in the analysis on configurations with singularities, here in connection with our iterative approach for higher singularities.},
  language  = {en}
}
@unpublished{ChenWu2006,
  author    = {Chen, Hua and Wu, Shaohua},
  title     = {On existence of solutions for some hyperbolic-parabolic type chemotaxis systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30082},
  year      = {2006},
  abstract  = {In this paper, we discuss the local and global existence of week solutions for some hyperbolic-parabolic systems modelling chemotaxis.},
  language  = {en}
}
@unpublished{MakhmudovNiyozovTarkhanov2006,
  author    = {Makhmudov, O. and Niyozov, I. and Tarkhanov, Nikolai Nikolaevich},
  title     = {The cauchy problem of couple-stress elasticity},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30078},
  year      = {2006},
  abstract  = {We study the Cauchy problem for the oscillation equation of the couple-stress theory of elasticity in a bounded domain in R3. Both the displacement and stress are given on a part S of the boundary of the domain. This problem is densely solvable while data of compact support in the interior of S fail to belong to the range of the problem. Hence the problem is ill-posed which makes the standard calculi of Fourier integral operators inapplicable. If S is real analytic the Cauchy-Kovalevskaya theorem applies to guarantee the existence of a local solution. We invoke the special structure of the oscillation equation to derive explicit conditions of global solvability and an approximation solution.},
  language  = {en}
}
@unpublished{GilKrainerMendoza2006,
  author    = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.},
  title     = {On rays of minimal growth for elliptic cone operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30064},
  year      = {2006},
  abstract  = {We present an overview of some of our recent results on the existence of rays of minimal growth for elliptic cone operators and two new results concerning the necessity of certain conditions for the existence of such rays.},
  language  = {en}
}
@unpublished{KapanadzeSchulzeSeiler2006,
  author    = {Kapanadze, D. and Schulze, Bert-Wolfgang and Seiler, J.},
  title     = {Operators with singular trace conditions on a manifold with edges},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30058},
  year      = {2006},
  abstract  = {We establish a new calculus of pseudodifferential operators on a manifold with smooth edges and study ellipticity with extra trace and potential conditions (as well as Green operators) at the edge. In contrast to the known scenario with conditions of that kind in integral form we admit in this paper 'singular' trace, potential and Green operators, which are related to the corresponding operators of positive type in Boutet de Monvel's calculus for boundary value problems.},
  language  = {en}
}
@unpublished{LiperovskayaParrotBogdanovetal.2006,
  author    = {Liperovskaya, E. V. and Parrot, M. and Bogdanov, V. V. and Meister, Claudia-Veronika and Rodkin, M. V. and Liperovsky, V. A.},
  title     = {On long-term variations of foF2 in the mid-latitude ionosphere before strong earthquakes},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15017},
  year      = {2006},
  abstract  = {The statistical analysis of the variations of the dayly-mean frequency of the maximum ionospheric electron density foF2 is performed in connection with the occurrence of (more than 60) earthquakes with magnitudes M > 6.0, depths h < 80 km and distances from the vertical sounding station R < 1000 km. For the study, data of the Tokyo sounding station are used, which were registered every hour in the years 1957-1990. It is shown that, on the average, foF2 decreases before the earthquakes. One day before the shock the decrease amounts to about 5 \%. The statistical reliability of this phenomenon is obtained to be better than 0.95. Further, the variations of the occurrence probability of the turbulization of the F-layer (F spread) are investigated for (more than 260) earthquakes with M > 5.5, h < 80 km, R < 1000 km. For the analysis, data of the Japanese station Akita from 1969-1990 are used, which were obtained every hour. It is found that before the earthquakes the occurrence probability of F spread decreases. In the week before the event, the decrease has values of more than 10 \%. The statistical reliability of this phenomenon is also larger than 0.95. Examining the seismo-ionospheric effects, here periods of time with weak heliogeomagnetic disturbances are considered, the Wolf number is less than 100 and the index ∑ Kp is smaller than 30.},
  language  = {en}
}
@unpublished{LiperovskayaMeisterParrotetal.2006,
  author    = {Liperovskaya, E. V. and Meister, Claudia-Veronika and Parrot, M. and Bogdanov, V. V. and Vasil'eva, N. E.},
  title     = {On Es-spread effects in the ionosphere connected to earthquakes},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15003},
  year      = {2006},
  abstract  = {In the present work, phenomena in the ionosphere are studied, which are connected with earthquakes (16 events) having a depth of less than 50 km and a magnitude M larger than 4. Analysed are night-time Es-spread effects using data of the vertical sounding station Petropavlovsk- Kanchatsky (φ=53.0°, λ=158.7°) from May 2004 until August 2004 registered every 15 minutes. It is found that the maximum distance of the earthquake from the sounding station, where pre-seismic phenomena are yet observable, depends on the magnitude of the earthquake. Further it is shown that 1-2 days before the earthquakes, in the premidnight hours, the appearance of Es-spread increases. The reliability of this increase amounts to 0.95.},
  language  = {en}
}
@unpublished{RoellyFradon2006,
  author    = {Roelly, Sylvie and Fradon, Myriam},
  title     = {Infinite system of Brownian balls : equilibrium measures are canonical Gibbs},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6720},
  year      = {2006},
  abstract  = {We consider a system of infinitely many hard balls in R<sup>d undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with a local time term. We prove that the set of all equilibrium measures, solution of a detailed balance equation, coincides with the set of canonical Gibbs measures associated to the hard core potential added to the smooth interaction potential.},
  language  = {en}
}