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Regular and Irregular Holonomic D-Modules
Contributor(s): Kashiwara, Masaki (Author), Schapira, Pierre (Author)
ISBN: 1316613453     ISBN-13: 9781316613450
Publisher: Cambridge University Press
OUR PRICE:   $62.69  
Product Type: Paperback - Other Formats
Published: July 2016
Qty:
Additional Information
BISAC Categories:
- Mathematics | Topology - General
Dewey: 514.23
LCCN: 2016011164
Series: London Mathematical Society Lecture Note
Physical Information: 0.29" H x 5.98" W x 9.07" (0.42 lbs) 117 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann-Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes tudes Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense.

Contributor Bio(s): Kashiwara, Masaki: - Masaki Kashiwara is a project professor in the Research Institute for Mathematical Sciences at Kyoto University, Japan. He is an internationally recognized specialist of algebraic analysis, the new branch of mathematics created by Mikio Sato in the 1970s.Schapira, Pierre: - Pierre Schapira is Professor Emeritus at the University of Paris VI. He is an internationally recognized specialist of algebraic analysis, the new branch of mathematics created by Mikio Sato in the 1970s.