Invariant subspaces of the maximal domain of the Fourier transform

Muraz, Gilbert; Szeptycki, Pawel

doi:10.1090/S0002-9939-97-03973-7

Invariant subspaces of the maximal domain of the Fourier transform
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by Gilbert Muraz and Pawel Szeptycki

Proc. Amer. Math. Soc. 125 (1997), 3275-3278

DOI: https://doi.org/10.1090/S0002-9939-97-03973-7

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Abstract:

Translation invariant subspaces of the maximal domain of the Fourier transform (the amalgam of $l^2$ with $L^1$) 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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