On a certain L-ideal of the measure algebra
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On a class of convolution algebras of functions
Hans G. Feichtinger (1977)
Annales de l'institut Fourier
The Banach spaces defined in this paper consist essentially of those elements of ( being a locally compact group) which can in a certain sense be well approximated by functions with compact support. The main result of this paper is the fact that in many cases becomes a Banach convolution algebra. There exist many natural examples. Furthermore some theorems concerning inclusion results and the structure of these spaces are given. In particular we prove that simple conditions imply the existence...
On a covering group theorem and its applications.
Grigorian, S.A., Gumerov, R.N. (2002)
Lobachevskii Journal of Mathematics
On Beurling measure algebras
Ross Stokke (2022)
Commentationes Mathematicae Universitatis Carolinae
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On Closed Ideals in the Motion Group Algebra.
Yitzhak Weit (1980)
Mathematische Annalen
On infinitely divisible measures on certain finitely generated groups.
S.G. Dani, Riddhi Shah (1993)
Mathematische Zeitschrift
On s-sets and mutual absolute continuity of measures on homogeneous spaces.
Tord Sjödin (1997)
Manuscripta mathematica
On strong Riesz sets
Robert E. Dressler, Louis Pigno (1974)
Colloquium Mathematicae
On the continuity of convolution.
J. Yuan (1975)
Semigroup forum
On the relationships between Fourier-Stieltjes coefficients and spectra of measures
Przemysław Ohrysko, Michał Wojciechowski (2014)
Studia Mathematica
We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group with Fourier coefficients taking values in this set has a natural spectrum. For measures with Fourier coefficients tending to 0 we construct an open set with this property. We also give an example of a singular measure whose spectrum is contained in our set.
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