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Differences of functions and measures

Published online by Cambridge University Press:  09 April 2009

R. E. Edwards
R. E. Edwards
Affiliation:
Department of MathematicsInstitute of Advanced Studies Australian National University
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Throughout this paper, G will denote a locally compact Hausdorff group with a chosen left Haar measure m. For each s ∈ G, τs denotes the left translation operator which acts on functions ƒ according to the rule; τsƒ(x) = ƒ(s−1x) and on measures or distributions in the corresponding way. The associted left difference operators ts−1 is denoted by Δs. On occasions it will be more convenient to write τ(s) and Δ(s) in place of τs and Δs.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 2 , May 1968 , pp. 250 - 268
Copyright
Copyright © Australian Mathematical Society 1968

References

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