The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover)) - Hardcover

Lars Hörmander

Hardcover

ISBN 10: 3540121048 ISBN 13: 9783540121046

Publisher: Springer, 1983

Synopsis

Vol. 1 of Lars Hörmander's influential 4-volume treatise is a detailed exposition of the theory of distributions.

From the reviews:

"In order to illustrate the richness of the book: in my review of the 1983 edition [...] I gave a list of 20 subjects which were new compared to Hörmander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. Hörmander's treatment of these is extremely clear and efficient and often highly original. [...] Most of the exercises are witty, with an interesting point. The phrasing of both the exercises and the answers and hints is very careful [...] In all, the book can be highly recommended, both as a textbook for advanced students, and as background and reference for introductory courses on distributions and Fourier analysis."

J.J. Duistermaat in Mededelingen van het Wiskundig Genootschap

About this title

Review

.".. it is the best now available in print. ... All the theorems are there (among them the Schwartz kernel theorem), and all they have ... proofs." Bulletin of the American Mathematical Society "It certainly will be a classic for many years." Zentralblatt f r Mathematik

Edition details

• Publisher: Springer
• Publication date: 1983
• ISBN 10: 3540121048
• ISBN 13: 9783540121046
• Binding: Hardcover
• Language: English