On convolution squares of singular measures

Sanjiv K. Gupta, Kathryn E. Hare

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove that for every compact, connected group G there is a singular measure µ such that the Fourier series of µ ∗ µ converges uniformly on G. Our results extend the earlier results of Saeki and Dooley–Gupta.

Original languageEnglish
Pages (from-to)9-16
Number of pages8
JournalColloquium Mathematicum
Volume100
Issue number1
DOIs
Publication statusPublished - 2004

ASJC Scopus subject areas

  • Mathematics(all)

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