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Interpolation sets for Fréchet measures

J. Caggiano (2000)

Colloquium Mathematicae

We introduce various classes of interpolation sets for Fréchet measures-the measure-theoretic analogues of bounded multilinear forms on products of C(K) spaces.

Kurzweil-Henstock type integral on zero-dimensional group and some of its applications

Valentin Skvortsov, Francesco Tulone (2008)

Czechoslovak Mathematical Journal

A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.

Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space

Petkova, Violeta (2006)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 43A22, 43A25.We prove a representation theorem for bounded operators commuting with translations on L2ω(G,H), where G is a locally compact abelian group, H is a Hilbert space and ω is a weight on G. Moreover, in the particular case when G = R, we characterize completely the spectrum of the shift operator S1,ω on Lω2(R,H).

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