1Department of Mathematics and Statistics Sultan Zaboos University P.O. Box 36 Al Khodh 123, Sultanate of Oman 2Department of Pure Mathematics University of Waterloo Waterloo, Ont., Canada, N2L 3G1
Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 9-16
We prove that for every compact, connected group $G$ there is a singular measure $\mu $ such that the Fourier series of $\mu *\mu $ converges uniformly on $G$. Our results extend the earlier results of Saeki and Dooley–Gupta.
Keywords:
prove every compact connected group there singular measure fourier series * converges uniformly results extend earlier results saeki dooley gupta
Affiliations des auteurs :
Sanjiv K. Gupta
1
;
Kathryn E. Hare
2
1
Department of Mathematics and Statistics Sultan Zaboos University P.O. Box 36 Al Khodh 123, Sultanate of Oman
2
Department of Pure Mathematics University of Waterloo Waterloo, Ont., Canada, N2L 3G1
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Sanjiv K. Gupta; Kathryn E. Hare. On convolution squares of singular measures. Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 9-16. doi: 10.4064/cm100-1-2
