Integration on locally compact spaces

  • Edwin Hewitt
  • Kenneth A. Ross
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GMW)


Harmonic analysis on a locally compact group is the study of certain spaces and algebras of functions and measures defined on the group. The function spaces in question are defined by measurability and integrability conditions; manipulation of the relevant measures requires delicate techniques from measure and integration theory. Also, the fundamental theorems of the theory of representations of locally compact groups [see §22] depend wholly upon the study of a certain space of square integrable functions. Thus the theories of measure and integration play a vital rôle in the present book.


Compact Subset Compact Space Complex Measure Compact Hausdorff Space Outer Measure 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1963

Authors and Affiliations

  • Edwin Hewitt
    • 1
  • Kenneth A. Ross
    • 2
  1. 1.The University of WashingtonUSA
  2. 2.The University of RochesterUSA

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