On convolution squares of singular measures

• Autorzy: Sanjiv K. Gupta , Kathryn E. Hare
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A05: Measures on groups and semigroups, etc.
• 43A50: Convergence of Fourier series and of inverse transforms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 1
• Strony: 9-16

Daty

wydano

2004

Twórcy

autor

Sanjiv K. Gupta

• Department of Mathematics and Statistics, Sultan Zaboos University, P.O. Box 36, Al Khodh 123, Sultanate of Oman

autor

Kathryn E. Hare

• Department of Pure Mathematics, University of Waterloo, Waterloo, Ont., Canada, N2L 3G1

Identyfikatory

DOI

10.4064/cm100-1-2