Saturation on locally compact abelian groups
Copyright policy )Saturation on locally compact abelian groups
Let G be an arbitrary locally compact abelian group. It is the purpose of the present paper to establish saturation theorems for approximation processes generated by families (μt)t > 0 of complex bounded Radon measures on G and operating on a submodule of the Banach module Lp(G), Lp(G), over the convolution algebra . A basic tool is the Fourier transform method and, in the case p>1 for noncompact G, its interpretation in the context of the theory of quasimeasures on G.
- DigiZeitschriften Germany
- University of Mannheim Germany
- Ruhr University Bochum Germany
510.mathematics, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Measure algebras on groups, semigroups, etc., Analysis on specific locally compact and other abelian groups, Article, Saturation in approximation theory
510.mathematics, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Measure algebras on groups, semigroups, etc., Analysis on specific locally compact and other abelian groups, Article, Saturation in approximation theory
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