3. Elements of Fourier Analysis

  1. Peter V. O'Neil

Published Online: 24 OCT 2011

DOI: 10.1002/9781118032350.ch3

Beginning Partial Differential Equations, Second Edition

Beginning Partial Differential Equations, Second Edition

How to Cite

O'Neil, P. V. (2008) Elements of Fourier Analysis, in Beginning Partial Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032350.ch3

Publication History

  1. Published Online: 24 OCT 2011
  2. Published Print: 20 MAR 2008

ISBN Information

Print ISBN: 9780470133903

Online ISBN: 9781118032350

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Keywords:

  • Fourier series;
  • Fourier integral;
  • Fourier transform;
  • Fourier-cosine transforms;
  • Fourier sine transforms

Summary

This chapter contains sections titled:

  • Why Fourier Series?

  • The Fourier Series of a Function

  • Convergence of Fourier Series

  • Sine and Cosine Expansions

  • The Fourier Integral

  • The Fourier Transform

  • Convolution

  • Fourier Sine and Cosine Transforms