On convolution squares of singular measures
Sanjiv K. Gupta; Kathryn E. Hare
Colloquium Mathematicae (2004)
- Volume: 100, Issue: 1, page 9-16
- ISSN: 0010-1354
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topSanjiv K. Gupta, and Kathryn E. Hare. "On convolution squares of singular measures." Colloquium Mathematicae 100.1 (2004): 9-16. <http://eudml.org/doc/284152>.
@article{SanjivK2004,
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.},
author = {Sanjiv K. Gupta, Kathryn E. Hare},
journal = {Colloquium Mathematicae},
keywords = {singular probability measure; Fourier-Stieltjes transform; compact connected group},
language = {eng},
number = {1},
pages = {9-16},
title = {On convolution squares of singular measures},
url = {http://eudml.org/doc/284152},
volume = {100},
year = {2004},
}
TY - JOUR
AU - Sanjiv K. Gupta
AU - Kathryn E. Hare
TI - On convolution squares of singular measures
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 1
SP - 9
EP - 16
AB - 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.
LA - eng
KW - singular probability measure; Fourier-Stieltjes transform; compact connected group
UR - http://eudml.org/doc/284152
ER -
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