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Interpolation sets for Fréchet measures. (English) Zbl 0963.43003

The aim of this paper is to examine certain harmonic-analytic interpolation properties of Fourier transforms of Fréchet measures. Various classes of interpolation sets for Fréchet measures are introduced and studied.

MSC:

43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
46A32 Spaces of linear operators; topological tensor products; approximation properties