On convolution squares of singular measures

Sanjiv K. Gupta; Kathryn E. Hare

doi:10.4064/cm100-1-2

On convolution squares of singular measures

Sanjiv K. Gupta, Kathryn E. Hare

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	9-16
Number of pages	8
Journal	Colloquium Mathematicum
Volume	100
Issue number	1
DOIs	https://doi.org/10.4064/cm100-1-2
Publication status	Published - 2004

ASJC Scopus subject areas

General Mathematics

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On convolution squares of singular measures

Abstract

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