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Fourier series and integral transforms. (English) Zbl 0999.42500
Cambridge: Cambridge University Press. vii, 189 p. £12.95/pbk; £35.00/hbk (1997).

Publisher’s description:

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.

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.

42-01Textbooks (Fourier analysis)
44-01Textbooks (integral transforms)
42A16Fourier coefficients, special Fourier series, etc.
42B10Fourier type transforms, several variables
44A10Laplace transform