Fourier Series

  • Anton Deitmar
Part of the Universitext book series (UTX)


The theory of Fourier series is concerned with the question of whether a given periodic function, such as the plot of a heartbeat or the signal of a radio pulsar, can be written as a sum of simple waves. A simple wave is described in mathematical terms as a function of the form c sin(2πkx) or c cos(2πkx) for an integer k and a complex number c.


Fourier Series Periodic Function Uniform Convergence Fourier Coefficient Trigonometric Polynomial 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Anton Deitmar
    • 1
  1. 1.Department of MathematicsUniversity of ExeterExeter, DevonUK

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