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Fourier Integral

  • Adriaan C. Zaanen
Part of the Universitext book series (UTX)

Abstract

For use in next sections we shall discuss here how to compute some inte­grals. To this end we need generalizations of the theorems on integration of monotone sequences and on dominated convergence; the discrete parameter n in these theorems will be replaced by a continuous parameter ⋋. Let first µ, be a σ-finite measure in the (non-empty) point set X.

Keywords

Fourier Series Fourier Coefficient Inverse Fourier Transform Continuous Derivative Approximate Identity 
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-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Adriaan C. Zaanen
    • 1
  1. 1.Department of MathematicsUniversity of LeidenLeidenThe Netherlands

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