6. Fourier Series

  1. Leonard F. Richardson

Published Online: 15 FEB 2011

DOI: 10.1002/9781118032411.ch6

Advanced Calculus: An Introduction to Linear Analysis

Advanced Calculus: An Introduction to Linear Analysis

How to Cite

Richardson, L. F. (2008) Fourier Series, in Advanced Calculus: An Introduction to Linear Analysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032411.ch6

  1. This chapter is not required for any subsequent chapters.

Publication History

  1. Published Online: 15 FEB 2011
  2. Published Print: 11 APR 2008

ISBN Information

Print ISBN: 9781118030677

Online ISBN: 9781118032411

SEARCH

Keywords:

  • Fourier series;
  • vibrating string;
  • Euler's formula;
  • Bessel's inequality;
  • Riemann localization

Summary

This chapter contains sections titled:

  • The Vibrating String and Trigonometric Series

  • Euler's Formula and the Fourier Transform

  • Bessel's Inequality and l2

  • Uniform Convergence & Riemann Localization

  • L2-Convergence & the Dual of l2

  • Test Yourself