D-modules and Microlocal Calculus

Download or read book D-modules and Microlocal Calculus written by Masaki Kashiwara and published by American Mathematical Soc.. This book was released on 2003 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original title of this work translated as "Foundation of Algebraic Analysis." Kashiwara (Kyoto U., Japan) changed the title to more precisely reflect the nature of the text's contents and to signal his belief that "the microlocal point of view helps concrete calculations, as powerfully as the Cauchy integral formula provides the values of many definite integrals." Chapters cover basic properties of D-modules, characteristic varieties, construction of D-modules, their functorial properties, regular holonomic systems, b-functions, ring of formal microdifferential operators, microlocal analysis of holonomic systems, and microlocal calculus of b-functions. Translated from the Japanese work Daisu Kaiseki Gairon (2000). Annotation copyrighted by Book News, Inc., Portland, OR