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Analytic D-Modules and Applications

Language EnglishEnglish
Book Paperback
Book Analytic D-Modules and Applications Jan-Erik Björk
Libristo code: 01973323
Publishers Springer Netherlands, October 2010
This is the first monograph to be published on analytic D-modules and it offers a complete and syste... Full description
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This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.

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About the book

Full name Analytic D-Modules and Applications
Language English
Binding Book - Paperback
Date of issue 2010
Number of pages 581
EAN 9789048142385
ISBN 9048142385
Libristo code 01973323
Weight 958
Dimensions 160 x 240 x 30
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