A guide to distribution theory and Fourier transforms

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CRC Press, 1994 - Mathematics - 213 pages
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This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudo-differential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.in applied analysis and mathematical physics.

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Contents

The Calculus of Distributions
11
Fourier Transforms
26
Fourier Transforms of Tempered Distributions
43
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