Regular and Irregular Holonomic D-Modules (Paperback)

Descripción:

Paperback. 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 RiemannHilbert 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 Etudes 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. The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de ref. del artículo 9781316613450

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Acerca de los autores: 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.

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.