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Analytic D-Modules and Applications on Hardback by Jan-Erik Bjork
Analytic D-Modules and Applications on Hardback by Jan-Erik Bjork
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Analytic D-Modules and Applications

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Description

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.
Release date Australia
January 31st, 1993
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XIII, 581 p.
Pages
581
Dimensions
155x235x33
ISBN-13
9780792321149
Product ID
2082589

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Analytic D-Modules and Applications by Jan-Erik Bjork
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