Introduction of Basic Fourier Series

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


Our main objective in this chapter is to define basic Fourier series and to establish some elementary facts about them. In our presentation most of the material can be read independently from Chapters 3 and 4, we only assume that the reader is familiar with the basic exponential and basic trigonometric functions covered in Chapter 2.


Orthogonality Relation Orthogonality Property Addition Theorem 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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