Fourier Integral

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


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.


Fourier Series Fourier Coefficient Inverse Fourier Transform Continuous Derivative Approximate Identity 
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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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