Proceedings of the American Mathematical Society

Author(s): Gilbert Muraz; Pawel Szeptycki
Journal: Proc. Amer. Math. Soc. 125 (1997), 3275-3278.
MSC (1991): Primary 42A38, 43A30
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Abstract: Translation invariant subspaces of the maximal domain of the Fourier transform (the amalgam of $l^2$

with

) are characterised: it turns out that in this case all measurable subsets of the dual space are sets of spectral synthesis.

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Gilbert Muraz
Affiliation: Department of Mathematics, Institut Fourier--Grenoble, UFR-UMR 5582, BP 74, 38402 St. Martin d'Heres Cedex, France
Email: muraz@fourier.ujf-grenoble.fr

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