Analytic D-modules and Applications PDF ePub eBook

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Analytic D-modules and Applications free pdf 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.

About Jan-Erik Bjork

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Details Book

Author : Jan-Erik Bjork
Publisher : Kluwer Academic Publishers
Data Published : 15 January 1993
ISBN : 0792321146
EAN : 9780792321149
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 600 pages
Age + : 15 years
Language : English
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