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The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Grundlehren Der Mathematischen Wissenschaften) - Hardcover
Synopsis
Vol. 1 of Lars Hörmander's influential 4-volume treatise is a detailed exposition of the theory of distributions. From the "In order to illustrate the richness of the 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
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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 fA1/4r Mathematik
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