Displaying similar documents to “Constructions of singular measures with remarkable convolution properties”

Singular measures and the key of G.

Stephen M. Buckley, Paul MacManus (2000)

Publicacions Matemàtiques

Similarity:

We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a G set of full Lebesgue measure.

On the weak space and singular measures

Robert Kaufman (1982)

Annales de l'institut Fourier

Similarity:

We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak space; symmetric sets of constant ratio occur in an unexpected way.

On convolution squares of singular measures

Sanjiv K. Gupta, Kathryn E. Hare (2004)

Colloquium Mathematicae

Similarity:

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.