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Random Fourier Series on Compact Noncommutative Groups

Published online by Cambridge University Press:  20 November 2018

Massimo A. Picardello
Massimo A. Picardello*
Affiliation:
University of Maryland, College Park, Maryland
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1. Let G be a compact group, let I b e a subset of its dual object 𝚪, which, without loss of generality, will be assumed to be a countable subset. Let Di, i ∈ I , be irreducible representations of G of degree di. The Fourier series of a function F in L1(G) is denned by

where

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1400 - 1407
Copyright
Copyright © Canadian Mathematical Society 1975

References

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