D-Modules and Microlocal Calculus - Brossura

Kashiwara, Masaki

Brossura

ISBN 10: 0821827669 ISBN 13: 9780821827666

Casa editrice: Amer Mathematical Society, 2002

Riassunto

Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory. Here, there is an emphasis on $b$-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara. A hot topic from the mid '70s to mid '80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public.

Su questo libro

Product Description

Book by Masaki Kashiwara

Su questa edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2002
• ISBN 10: 0821827669
• ISBN 13: 9780821827666
• Rilegatura: Copertina flessibile
• Numero di pagine: 254