Riesz bases of exponentials on unbounded multi-tiles

We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic property that we call admissibility. This property is satisfied for any bounded...

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Detalles Bibliográficos
Publicado:	2018
Materias:	Frames of exponentials Multi-tiling Paley-wiener spaces Riesz bases of exponentials Shift-invariant spaces Submulti- tiling
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v146_n5_p1991_Cabrelli http://hdl.handle.net/20.500.12110/paper_00029939_v146_n5_p1991_Cabrelli
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00029939_v146_n5_p1991_Cabrelli
record_format	dspace
spelling	paper:paper_00029939_v146_n5_p1991_Cabrelli2023-06-08T14:23:36Z Riesz bases of exponentials on unbounded multi-tiles Frames of exponentials Multi-tiling Paley-wiener spaces Riesz bases of exponentials Shift-invariant spaces Submulti- tiling We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic property that we call admissibility. This property is satisfied for any bounded domain, so our results extend the known case of bounded multi-tiles. We also extend known results for submulti-tiles and frames of exponentials to the unbounded case. © 2018 American Mathematical Society. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v146_n5_p1991_Cabrelli http://hdl.handle.net/20.500.12110/paper_00029939_v146_n5_p1991_Cabrelli
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Frames of exponentials Multi-tiling Paley-wiener spaces Riesz bases of exponentials Shift-invariant spaces Submulti- tiling
spellingShingle	Frames of exponentials Multi-tiling Paley-wiener spaces Riesz bases of exponentials Shift-invariant spaces Submulti- tiling Riesz bases of exponentials on unbounded multi-tiles
topic_facet	Frames of exponentials Multi-tiling Paley-wiener spaces Riesz bases of exponentials Shift-invariant spaces Submulti- tiling
description	We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic property that we call admissibility. This property is satisfied for any bounded domain, so our results extend the known case of bounded multi-tiles. We also extend known results for submulti-tiles and frames of exponentials to the unbounded case. © 2018 American Mathematical Society.
title	Riesz bases of exponentials on unbounded multi-tiles
title_short	Riesz bases of exponentials on unbounded multi-tiles
title_full	Riesz bases of exponentials on unbounded multi-tiles
title_fullStr	Riesz bases of exponentials on unbounded multi-tiles
title_full_unstemmed	Riesz bases of exponentials on unbounded multi-tiles
title_sort	riesz bases of exponentials on unbounded multi-tiles
publishDate	2018
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v146_n5_p1991_Cabrelli http://hdl.handle.net/20.500.12110/paper_00029939_v146_n5_p1991_Cabrelli
_version_	1768546232391696384

Riesz bases of exponentials on unbounded multi-tiles

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