Hörmander, Lars The Analysis of Linear Partial Differential Operators 1 Distribution Theory and Fourier Analysis : Springer-Verlag GmbH 2003 Kartoniert / Broschiert Bestellnr: 3540006621
NEUWARE! 440 Seiten 5 Abb. 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 TOC: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. Sprache/Language: German Applied, Calculus, Fourieranalysis, Analysis / Fourieranalysis, Verteilung (mathematisch), Distribution (mathematisch), Calculus, Analysis
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