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 rôle in the present book.
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© 1963 Springer-Verlag Berlin Heidelberg
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Hewitt, E., Ross, K.A. (1963). Integration on locally compact spaces. In: Abstract Harmonic Analysis. Die Grundlehren der Mathematischen Wissenschaften. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-40409-6_3
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DOI: https://doi.org/10.1007/978-3-662-40409-6_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-39358-1
Online ISBN: 978-3-662-40409-6
eBook Packages: Springer Book Archive