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Applications of Fourier Series

  • Richard Beals
Part of the Graduate Texts in Mathematics book series (GTM, volume 12)

Abstract

If u is a smooth periodic function with Fourier coefficients (a n ) , then we know that the sequence (a n ) uniquely determines the function u; in fact, the partial sums
$${u_N}\left( x \right) = \sum\limits_{ - N}^N {{a_n}} \exp \left( {inx} \right)$$
(1)
of the Fourier series converge to u in the sense of P.

Keywords

Fourier Series Unit Disc Dirichlet Problem Classical Solution Heat Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1973

Authors and Affiliations

  • Richard Beals
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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