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A homomorphism theorem for multipliers

Published online by Cambridge University Press:  20 January 2009

Nakhlé Habib Asmar
Affiliation:
Department of Mathematics and Computer Science, California State University, Long Beach, Long, Beach, California 90840, USA
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Throughout the paper, the symbols G1 and G2 will denote two locally compact abelian groups with character groups X1 and X2, respectively. Haar measures on Gj are denoted by μj; the ones on Xj are denoted by θj (j=1,2). The measures μj and θj are normalized so that the Plancherel Theorem holds (see [7, p. 226, Theorem 31.18]).

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

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