Uniformly distributed sequences in locally compact groups. I

Benzinger, Leonora

doi:10.1090/S0002-9947-1974-0333063-1

Uniformly distributed sequences in locally compact groups. I
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Trans. Amer. Math. Soc. 188 (1974), 149-165 Request permission

Abstract:

We investigate the notion of uniformly distributed sequences in locally compact groups. Our main result is the following: A locally compact group G possesses a uniformly distributed sequence if and only if it possesses a sequence whose homomorphic images are dense in each of the compact quotients of G.

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