Set of uniqueness on noncommutative locally compact groups

Author:

Bożejko Marek

Abstract

Using the terminology of P. Eymard we adapt the notion of set of uniqueness to noncommutative case and we show that every compact and residual set in a locally compact nondiscrete group is a set of uniqueness.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. L’algèbre de Fourier d’un groupe localement compact;Eymard, Pierre;Bull. Soc. Math. France,1964

2. Actualit\'{e}s Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1301;Kahane, Jean-Pierre,1963

3. The spectral characterization of a class of almost periodic functions;Loomis, L. H.;Ann. of Math. (2),1960

4. North-Holland Mathematical Library, Vol. 2;Meyer, Yves,1972

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Synthetic properties of locally compact groups: preservation and transference;Monatshefte für Mathematik;2022-06-23

2. Transference and preservation of uniqueness;Israel Journal of Mathematics;2019-03

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