Convolutions and group representations

  • Edwin Hewitt
  • Kenneth A. Ross


In the present chapter, we initiate our study of harmonic analysis proper. The basic operation in harmonic analysis is convolution; in §99, we give a reasonably general definition of convolutions and develop with some care the fundamental properties of convolutions of measures. In §20, we examine explicit formulas for convolutions of measures and functions. In §21, we present some facts about representations of groups and algebras. In §22, we prove the existence of irreducible representations of locally compact groups.


Unitary Representation Representation Versus Cyclic Vector Chapter Versus Closed Linear Subspace 
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Copyright information

© Springer-Verlag New York, Inc. 1979

Authors and Affiliations

  • Edwin Hewitt
    • 1
  • Kenneth A. Ross
    • 2
  1. 1.Department of Mathematics GN-50University of WashingtonSeattleUSA
  2. 2.Department of MathematicsUniversity of OregonEugeneUSA

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