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Integration on locally compact spaces

Identifieur interne : 002956 ( Istex/Checkpoint ); précédent : 002955; suivant : 002957

Integration on locally compact spaces

Auteurs : Edwin Hewitt [États-Unis] ; Kenneth A. Ross [États-Unis]

Source :

RBID : ISTEX:D460424CD7CAC13F2668373D0D7B631A5753F226

Abstract

Abstract: 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 role in the present book.

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DOI: 10.1007/978-1-4419-8638-2_3


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ISTEX:D460424CD7CAC13F2668373D0D7B631A5753F226

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