Abstract
AbstractResults concerning a class of lacunary sets are generalized from compact abelian to compact nonabelian groups. This class was introduced for compact abelian groups by Bozejko and Pytlik; it includes the p-Sidon sets of Edwards and Ross. A notion of test family is introduced and is used to give necessary conditions for a set to be lacunary. Using this, it is shown that (2) has no infinite p-Sidon sets for 1 ≤p<2.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Weighted p-Sidon sets;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1996-08
2. Central lacunary sets for Lie groups;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1988-08
3. Norms of characters and lacunarity for compact Lie groups;Journal of Functional Analysis;1979-05