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Zbl 0999.42500
Pinkus, Allan; Zafrany, Samy
Fourier series and integral transforms.
(English)
[B] Cambridge: Cambridge University Press. vii, 189 p. \sterling 12.95/pbk; \sterling 35.00/hbk (1997). ISBN 0-521-59771-4/pbk; ISBN 0-521-59209-7/hbk

Publisher's description: \par The aim of this book is to provide the reader with a basic understanding of Fourier series, Fourier transforms and Laplace transforms. The book is an expanded and polished version of the authors' notes for a one-semester course, for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this book are basic courses in calculus and linear algebra. Otherwise the material is self-contained with numerous exercises and various examples of applications.\par Contents: Preface; 0. Notation and terminology; 1. Background: inner product spaces; 2. Fourier series; 3. The Fourier transform; 4. The Laplace transform; Appendix A: The residue theorem and related results; Appendix B: Leibniz's rule and Fubini's theorem.
MSC 2000:
*42-01 Textbooks (Fourier analysis)
44-01 Textbooks (integral transforms)
42A16 Fourier coefficients, etc.
42B10 Fourier type transforms, several variables
44A10 Laplace transform
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