@unpublished{KytmanovMyslivetsSchulzeetal.2001, author = {Kytmanov, Aleksandr and Myslivets, Simona and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {Elliptic problems for the Dolbeault complex}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25979}, year = {2001}, abstract = {The inhomogeneous ∂-equations is an inexhaustible source of locally unsolvable equations, subelliptic estimates and other phenomena in partial differential equations. Loosely speaking, for the anaysis on complex manifolds with boundary nonelliptic problems are typical rather than elliptic ones. Using explicit integral representations we assign a Fredholm complex to the Dolbeault complex over an arbitrary bounded domain in C up(n).}, language = {en} } @article{KytmanovMyslivetsSchulzeetal.2005, author = {Kytmanov, Alexander M. and Myslivets, Simona and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {Elliptic problems for the Dolbeault complex}, issn = {0025-584X}, year = {2005}, abstract = {The inhomogeneous partial derivative-equation is an inexhaustible source of locally unsolvable equations, subelliptic estimates and other phenomena in partial differential equations. Loosely speaking, for the analysis on complex manifolds with boundary nonelliptic problems are typical rather than elliptic ones. Using explicit integral representations we assign a Fredholm complex to the Dolbeault complex over an arbitrary bounded domain in C-n. (C) 2005 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim}, language = {en} } @article{FedosovSchulzeTarkhanov2001, author = {Fedosov, Boris and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {A general index formula on toric manifolds with conical point}, year = {2001}, language = {en} } @book{FedosovSchulzeTarkhanov2003, author = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {On index theorem for symplectic orbifolds}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {44 S.}, year = {2003}, language = {en} } @book{SchulzeTarkhanov2003, author = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {Symbol algebra for manifolds with cuspidal singularities}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {37 S.}, year = {2003}, language = {en} } @article{FedosovSchulzeTarkhanov2004, author = {Fedosov, Boris and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {On the index theorem for symplectic orbifolds}, issn = {0373-0956}, year = {2004}, abstract = {We give an explicit construction of the trace on the algebra of quantum observables on a symplectiv orbifold and propose an index formula}, language = {en} } @unpublished{FedosovSchulzeTarkhanov2003, author = {Fedosov, Boris and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {On index theorem for symplectic orbifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26550}, year = {2003}, abstract = {We give an explicit construction of the trace on the algebra of quantum observables on a symplectic orbifold and propose an index formula.}, language = {en} } @unpublished{SchulzeTarkhanov2000, author = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {Asymptotics of solutions to elliptic equatons on manifolds with corners}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25716}, year = {2000}, abstract = {We show an explicit link between the nature of a singular point and behaviour of the coefficients of the equation, under which formal asymptotic expansions are still available.}, language = {en} } @unpublished{RabinovichSchulzeTarkhanov1999, author = {Rabinovich, Vladimir and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {Boundary value problems in domains with corners}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25552}, year = {1999}, abstract = {We describe Fredholm boundary value problems for differential equations in domains with intersecting cuspidal edges on the boundary.}, language = {en} }