Fourier and Wavelet Analysis
By: by George Bachman, Lawrence Narici, Edward Beckenstein
Contributors: Narici, Lawrence; Beckenstein, Edward
Series: Universitext; Universitext
Publisher: Springer New York
Published: 2000
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 507
ISBN-13: 9781461267935; 9781461205050
Subjects: Mathematics; Global analysis (Mathematics); Topological groups
Description: This book is intended as an introduction to classical Fourier analysis, Fourier series, and the Fourier transform. The topics are developed slowly for the reader who has never seen them before, with a preference for clarity of exposition in stating and proving results. More recent developments, such as the discrete and fast Fourier transforms and wavelets, are covered in the last two chapters. The first three, short, chapters present requisite background material, and these could be read as a short course in functional analysis. The text includes many historical notes to place the material in a cultural and mathematical context; from the fact that Jean Baptiste Joseph Fourier was the nineteenth, but not the last, child in his family to the impact that Fourier series have had on the evolution of the concept of the integral.
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Mode of access: World Wide Web.
Table of contents: title: Metric and Normed Spaces; title: Analysis; title: Bases; title: Fourier Series; title: The Fourier Transform; title: The Discrete and Fast Fourier Transforms; title: Wavelets; title: Index.