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Invariant functionals

  • Edwin Hewitt
  • Kenneth A. Ross
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 115)

Abstract

Invariant functionals, measures, and integrals are a vital tool in studying representations of locally compact groups and in establishing the detailed structure of locally compact Abelian groups. They also provide the function algebras and function spaces that are studied in harmonic analysis. The subject of invariant functionals is large, and we cannot treat it with any completeness. In §15, we construct the Haar integral, which is essential for all of our subsequent work. In §16, we give some technical but interesting facts about Haar measure, and in §§17 and 18, we follow some interesting by ways.

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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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