On convolution squares of singular measures
Sanjiv K. Gupta ; Kathryn E. Hare
Colloquium Mathematicae, Tome 100 (2004), p. 9-16 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284152 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-2,
     author = {Sanjiv K. Gupta and Kathryn E. Hare},
     title = {On convolution squares of singular measures},
     journal = {Colloquium Mathematicae},
     volume = {100},
     year = {2004},
     pages = {9-16},
     zbl = {1052.43001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-2}
}

Sanjiv K. Gupta; Kathryn E. Hare. On convolution squares of singular measures. Colloquium Mathematicae, Tome 100 (2004) pp. 9-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-2/