Analytic D Modules and Applications is popular PDF and ePub book, written by Jan-Erik Björk in 2013-06-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Analytic D Modules and Applications can be Read Online from any device for your convenience.
Analytic D Modules and Applications Book PDF Summary
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.
Detail Book of Analytic D Modules and Applications PDF
- Author : Jan-Erik Björk
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401707176
- Genre : Mathematics
- Total Page : 588 pages
- Language : English
- PDF File Size : 12,9 Mb
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