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Linear operators which commute with translations. Part I: Representation theorems

Published online by Cambridge University Press:  09 April 2009

B. Brainerd  and
R. E. Edwards
B. Brainerd
Affiliation:
Department of MathematicsUniversity of Toronto
R. E. Edwards
Affiliation:
Department of Mathematics Institute of Advanced Studies Australian National University
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In Part I of this paper we shall be concerned with the representation as convolutions of continuous linear operators which act on various function- spaces linked with a locally compact group and which commute with left — or right — translations; cf. the results in [12]. For completeness some known results are included whenever they follow from the general procedure. We have tried to follow simple general approaches as much as possible.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 3 , August 1966 , pp. 289 - 327
Copyright
Copyright © Australian Mathematical Society 1966

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