Investigation of Basic Fourier Series

  • Sergei K. Suslov
Part of the Developments in Mathematics book series (DEVM, volume 9)

Abstract

In this chapter we shall present elementary results on the convergence of the basic Fourier series, including a proof of completeness of the basic trigonometric systems, and will establish several convenient tools, such as asymptotics of zeros, which are important for practical investigation of these series in the next chapters. Methods of summation and a few explicit examples of q-Fourier series will be also discussed among other things.

Keywords

Entire Function Orthogonality Relation Poisson Kernel Positive Zero Basic Exponential Function 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Sergei K. Suslov
    • 1
  1. 1.Department of Mathematics and StatisticsArizona State UniversityTempeUSA

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