A Guide to Distribution Theory and Fourier Transforms

Providing a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations, this book 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 pseudodifferential 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.

ISBN	9812384308	Pages	236
ISBN13	9789812384300 (What's this?)	Volumes	1
Publisher	World Scientific Publishing Co Pte Ltd	Weight (grammes)	422
Imprint	World Scientific Publishing Co Pte Ltd	Published in	Singapore
Format	Paperback	Height (mm)	200
Publication date	25 Jul 2003	Width (mm)	147
Library of Congress	QA324.S77	Spine width (mm)	15
DEWEY	515.782	Academic level	Tertiary education, Professional / Scholarly
DEWEY edition	DC21

	Preface
1	What are Distributions?	1
2	The Calculus of Distributions	12
3	Fourier Transforms	28
4	Fourier Transforms of Tempered Distributions	46
5	Solving Partial Differential Equations	60
6	The Structure of Distributions	78
7	Fourier Analysis	113
8	Sobolev Theory and Microlocal Analysis	162
	Suggestions for Further Reading	219
	Index	221

Be the first to write a customer review

A Guide to Distribution Theory and Fourier Transforms

Buying options