The Analysis of Linear Partial Differential Operators - Volume 1

Distribution Theory and Fourier Analysis

Lars Hormander - Collection Classics in Mathematics (CIM)

452 pages, parution le 17/07/2003 (2^eme édition)

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Résumé

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

L'auteur - Lars Hormander

Born on January 24,1931, on the southern coast of Sweden, Lars Hormander 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 Carding. 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.

Hormander'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. His 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.

Sommaire

Introduction
Test Functions
Definition and Basic Properties of Distributions
Differentiation and Multiplication by Functions
Convolution
Distributions in Product Spaces
Composition with Smooth Maps
The Fourier Transformation
Spectral Analysis of Singularities
Hyperfunctions
Exercises
Answers and Hints to All the Exercises
Bibliography
Index
Index of Notation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Lars Hormander
Collection	Classics in Mathematics (CIM)
Parution	17/07/2003
Édition	2^eme édition
Nb. de pages	452
Format	15,8 x 23,5
Couverture	Broché
Poids	700g
Intérieur	Noir et Blanc
EAN13	9783540006626
ISBN13	978-3-540-00662-6