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Gleichverteilte Folgen in lokalkompakten Gruppen

Uniformly distributed sequences in locally compact groups

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Abstract

In this paper we consider concepts of uniform distribution in locally compact groups in connection with representation theory. We study questions concerning the existence and quality of uniformly distributed sequences in connection with the structure of general locally compact groups (including also several examples of particular groups), certain separability-conditions, and the structure of the according representation space (the latter primarily for the circle-group). For connections to known concepts the reader is referred to [29], [14], [25], [48], [21], [53]; [19]; [26], [17]; [9]; [3]; [40].

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  1. Harald Rindler

    Present address: Mathematisches Institut der Universität, Strudlhofgasse 4, A-1090, Wien, Österreich

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    Herrn Prof. Dr. E. Hlawka zum 60. Geburtstag gewidmet

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    Rindler, H. Gleichverteilte Folgen in lokalkompakten Gruppen. Monatshefte für Mathematik 82, 207–235 (1976). https://doi.org/10.1007/BF01526327

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