Fourier Series

Capa
Courier Corporation, 1976 - 336 páginas
Richard A. Silverman's series of translations of outstanding Russian textbooks and monographs is well-known to people in the fields of mathematics, physics, and engineering. The present book is another excellent text from this series, a valuable addition to the English-language literature on Fourier series.
This edition is organized into nine well-defined chapters: Trigonometric Fourier Series, Orthogonal Systems, Convergence of Trigonometric Fourier Series, Trigonometric Series with Decreasing Coefficients, Operations on Fourier Series, Summation of Trigonometric Fourier Series, Double Fourier Series and the Fourier Integral, Bessel Functions and Fourier-Bessel Series, and the Eigenfunction Method and its Applications to Mathematical Physics. Every chapter moves clearly from topic to topic and theorem to theorem, with many theorem proofs given. A total of 107 problems will be found at the ends of the chapters, including many specially added to this English-language edition, and answers are given at the end of the text. Richard Silverman's excellent translation makes this book readily accessible to mathematicians and math students, as well as workers and students in the fields of physics and engineering. He has also added a bibliography, containing suggestions for collateral and supplementary reading. 1962 edition.
 

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TRIGONOMETRIC FOURIER SERIES
1
ORTHOGONAL SYSTEMS
41
CONVERGENCE OF TRIGONOMETRIC FOURIER SERIES
66
TRIGONOMETRIC SERIES WITH DECREASING COEFFICIENTS
97
OPERATIONS ON FOURIER SERIES
115
SUMMATION OF TRIGONOMETRIC FOURIER SERIES
155
DOUBLE FOURIER SERIES THE FOURIER INTEGRAL
172
BESSEL FUNCTIONS AND FOURIERBESSEL SERIES
197
THE EIGENFUNCTION METHOD AND ITS APPLICATIONS TO MATHEMATICAL PHYSICS
245
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