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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a theorem of E. Lukacs
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by Paul Embrechts PDF
Proc. Amer. Math. Soc. 68 (1978), 292-294 Request permission

Erratum: Proc. Amer. Math. Soc. 75 (1979), 375.

Abstract:

We prove that an integral transform of measures on a locally compact abelian group, which satisfies both the uniqueness and the convolution property, is closely related to the Fourier-Stieltjes transform. This extends a result obtained by Lukacs for the real line.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 68 (1978), 292-294
  • MSC: Primary 43A25; Secondary 44A35, 60B15
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0470617-5
  • MathSciNet review: 0470617