The class l(log l)α and some lacunary sets

Sanjiv Kumar Gupta, Shobha Madan, U. B. Tewari

Research output: Contribution to journalArticle

Abstract

A well-known result of Zygmund states that if ([formula ommitted]) on the circle group T and £ is a Hadamard set of integers, then ([formula ommitted]) In this paper we investigate similar results for the classes ([formula ommitted]) on an arbitrary infinite compact abelian group G and Sidon subsets E of the dual T. These results are obtained as special cases of more general results concerning a new class of lacunary sets([formula ommitted]) where a subset E of ([formula ommitted]). We also prove partial results on the distinctness of the ([formula ommitted]) sets in the index p.

Original languageEnglish
Pages (from-to)387-403
Number of pages17
JournalJournal of the Australian Mathematical Society
Volume58
Issue number3
DOIs
Publication statusPublished - 1995

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Subset
Compact Group
Abelian group
Class
Circle
Partial
Integer
Arbitrary

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The class l(log l)α and some lacunary sets. / Gupta, Sanjiv Kumar; Madan, Shobha; Tewari, U. B.

In: Journal of the Australian Mathematical Society, Vol. 58, No. 3, 1995, p. 387-403.

Research output: Contribution to journalArticle

Gupta, Sanjiv Kumar ; Madan, Shobha ; Tewari, U. B. / The class l(log l)α and some lacunary sets. In: Journal of the Australian Mathematical Society. 1995 ; Vol. 58, No. 3. pp. 387-403.
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