Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme

dc.contributor.author	Strungaru, Nicolae
dc.date.accessioned	2023-07-25T15:02:37Z
dc.date.available	2023-07-25T15:02:37Z
dc.date.issued	2023
dc.description.abstract	In this paper, we prove that given a cut-and-project scheme (G,H,L) and a compact window W⊆H, the natural projection gives a bijection between the Fourier transformable measures on G×H supported inside the strip L∩(G×W) and the Fourier transformable measures on G supported inside ⋏(W). We provide a closed formula relating the Fourier transform of the original measure and the Fourier transform of the projection. We show that this formula can be used to re-derive some known results about Fourier analysis of measures with weak Meyer set support.
dc.identifier.citation	Strungaru, N. (2023). Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme. Canadian Mathematical Bulletin, 66(3), 1044-1060. https://doi.org/10.4153/S0008439523000164
dc.identifier.doi	https://doi.org/10.4153/S0008439523000164
dc.identifier.uri	https://hdl.handle.net/20.500.14078/3168
dc.language.iso	en
dc.rights	Attribution (CC BY)
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	cut-and-project schemes
dc.subject	Fourier transform of measures
dc.subject	Meyer sets
dc.title	Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme	en
dc.type	Article

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