@unpublished{Nehring2012, author = {Nehring, Benjamin}, title = {Construction of point processes for classical and quantum gases}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59648}, year = {2012}, abstract = {We propose a new construction of point processes, which generalizes the class of infinitely divisible point processes. Examples are the quantum Boson and Fermion gases as well as the classical Gibbs point processes, where the interaction is given by a stable and regular pair potential.}, language = {en} } @unpublished{NazaikinskiiSternin2000, author = {Nazaikinskii, Vladimir and Sternin, Boris}, title = {On surgery in elliptic theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25873}, year = {2000}, abstract = {We prove a general theorem on the behavior of the relative index under surgery for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions), this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities.}, language = {en} } @unpublished{NazaikinskiiSternin2002, author = {Nazaikinskii, Vladimir and Sternin, Boris}, title = {Relative elliptic theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26400}, year = {2002}, abstract = {This paper is a survey of relative elliptic theory (i.e. elliptic theory in the category of smooth embeddings), closely related to the Sobolev problem, first studied by Sternin in the 1960s. We consider both analytic aspects to the theory (the structure of the algebra of morphismus, ellipticity, Fredholm property) and topological aspects (index formulas and Riemann-Roch theorems). We also study the algebra of Green operators arising as a subalgebra of the algebra of morphisms.}, language = {en} } @unpublished{NazaikinskiiSternin2001, author = {Nazaikinskii, Vladimir and Sternin, Boris}, title = {Some problems of control of semiclassical states for the Schr{\"o}dinger equation}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26130}, year = {2001}, abstract = {Contents: Introduction Controlled Quantum Systems The Asymptotic Controllability Problem The Stabilization Problem Unitarily Nonlinear Equations The Quantum Problem The Stabilization Problem for the Schr{\"o}dinger Equation with a Unitarily Non-linear Control}, language = {en} } @unpublished{NazaikinskiiSchulzeSterninetal.1997, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor}, title = {A Lefschetz fixed point theorem for manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25073}, year = {1997}, abstract = {We establish an Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singular points.}, language = {en} } @unpublished{NazaikinskiiSchulzeSterninetal.1997, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor}, title = {Quantization of symplectic transformations on manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25084}, year = {1997}, abstract = {The structure of symplectic (canonical) transformations on manifolds with conical singularities is established. The operators associated with these transformations are defined in the weight spaces and their properties investigated.}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2002, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Surgery and the relative index theorem for families of elliptic operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26300}, year = {2002}, abstract = {We prove a theorem describing the behaviour of the relative index of families of Fredholm operators under surgery performed on spaces where the operators act. In connection with additional conditions (like symmetry conditions) this theorem results in index formulas for given operator families. By way of an example, we give an application to index theory of families of boundary value problems.}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin1999, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization and the wave packet transform}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25447}, year = {1999}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2000, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Chapter 3: Applications of noncommutative analysis to operator algebras on singular manifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25801}, year = {2000}, abstract = {Content: Chapter 3: Applications of Noncommutative Analysis to Operator Algebras on Singular Manifolds 3.1 Statement of the problem 3.2 Operators on the Model Cone 3.3 Operators on the Model Cusp of Order k 3.4 An Application to the Construction of Regularizers and Proof of the Finiteness Theorem}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2000, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Chapter 2: Exactly soluble commutation relations (The simplest class of classical mechanics)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25796}, year = {2000}, abstract = {Content: Chapter 2: Exactly SolubleCommutation Relations (The Simplest Class of Classical Mechanics) 2.1 Some examples 2.2 Lie commutation relations 2.3 Non-Lie (nonlinear) commutation relations}, language = {en} }