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Fourier Series

Overview


This classic text features a sophisticated treatment of Fourier's pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an introduction to Zygmund's standard treatise.
Beginning with a brief introduction to some generalities of trigonometrical series, the book explores the Fourier series in Hilbert space as ...
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Fourier Series

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Overview


This classic text features a sophisticated treatment of Fourier's pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an introduction to Zygmund's standard treatise.
Beginning with a brief introduction to some generalities of trigonometrical series, the book explores the Fourier series in Hilbert space as well as their convergence and summability. The authors provide an in-depth look at the applications of previously outlined theorems and conclude with an examination of general trigonometrical series. Ideally suited for both individual and classroom study, this incisive text offers advanced undergraduate and graduate students in mathematics, physics, and engineering a valuable tool in understanding the essentials of the Fourier series.
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Product Details

  • ISBN-13: 9780486406817
  • Publisher: Dover Publications
  • Publication date: 4/17/2013
  • Edition description: Unabridged
  • Edition number: 3
  • Pages: 112
  • Sales rank: 1,439,195
  • Product dimensions: 5.38 (w) x 8.44 (h) x 0.23 (d)

Table of Contents

  Preface; Notations
I. Generalities
II. Fourier series in Hilbert space
III. Further properties of trigonometrical Fourier series
IV. Convergence of Fourier series
V. Summability of Fourier series
VI. Applications of the theorems of Chapter V
VII. General trigonometrical series
  Notes
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