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ArticleOriginal scientific text

Title

Sidon sets and Riesz sets for some measure algebras on the disk

Authors 1, 2

Affiliations

  1. Département de Mathématique, Institut de Recherche Mathématique Avancée, Université Louis Pasteur, 67100 Strasbourg, France
  2. Department of Mathematics and Computer Science, University of Missouri-St. Louis, St. Louis, Missouri 63121, U.S.A.

Abstract

Sidon sets for the disk polynomial measure algebra (the continuous disk polynomial hypergroup) are described completely in terms of classical Sidon sets for the circle; an analogue of the F. and M. Riesz theorem is also proved.

Keywords

ENG
disk polynomials, bivariate polynomials, Riesz sets, hypergroups, Sidon sets

Bibliography

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Colloquium Mathematicum
1997/72/2
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Pages:
269-279
Main language of publication
English
Received
1995-08-30
Accepted
1996-04-22
Published
1997
Exact and natural sciences