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Proceedings of the American Mathematical Society

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

 

 

Uniform distribution on locally compact groups


Author: Harald Rindler
Journal: Proc. Amer. Math. Soc. 57 (1976), 130-132
MSC: Primary 22D99; Secondary 10K05
DOI: https://doi.org/10.1090/S0002-9939-1976-0417094-6
MathSciNet review: 0417094
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Abstract: In this paper we give a short proof of the existence of uniformly distributed sequences in separable locally compact groups, a result first stated by Benzinger [1]. The existence of u.d. sequences in separable compact groups was proved by Veech [7] whose results also imply the above result. We also prove the existence of well-distributed sequences.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0417094-6
Keywords: Locally compact groups, uniform distribution, finite-dimensional unitary representations, Bohr compactification
Article copyright: © Copyright 1976 American Mathematical Society