Applications of Fourier Series

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


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
$${u_N}\left( x \right) = \sum\limits_{ - N}^N {{a_n}} \exp \left( {inx} \right)$$
of the Fourier series converge to u in the sense of P.


Fourier Series Unit Disc Dirichlet Problem Classical Solution Heat Equation 
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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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