Gaussian semigroups on homogeneous banach spaces

Duchoň, Miloslav

doi:10.2478/v10127-009-0018-5

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Gaussian semigroups on homogeneous banach spaces

Tatra Mountains Mathematical Publications

Volume 42 (2009): Issue 1 (April 2009)

By: Miloslav Duchoň

Open Access

|Nov 2012

Abstract

The object of this paper is a study of a Cauchy problem by Gaussian semigroups methods on the 2π-torus in the setting of homogeneous Banach spaces. The approach is similar to that in: [Butzer, P. L.-Berens, H. Semi-Groupsof Operators and Approximation. Springer-Verlag, Berlin, 1967].

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