The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Grundlehren der mathematischen Wissenschaften, 256, Band 256)

Publisher

Springer

Publication Date

1990

Language

English

ISBN 10

3540523456

ISBN 13

9783540523451

Binding

Hardcover

Condition

Gut

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About this title

Synopsis

Vol. 1 of Lars H�rmander'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 H�rmander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. H�rmander'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 the Author

Biography of Lars H�rmander

Born on January 24, 1931, on the southern coast of Sweden, Lars H�rmander did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars G�rding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor.

H�rmander�s lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators. His book Linear Partial Differential Operators published 1963 by Springer in the Grundlehren series was the first major account of this theory. Hid four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period.

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