Artículo

Weaving Riesz Bases

Cabrelli, CarlosIcon ; Molter, Ursula MariaIcon ; Negreira Kun, FelipeIcon
Fecha de publicación: 03/2025
Editorial: Springer
Revista: Journal Of Fourier Analysis And Applications
ISSN: 1069-5869
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

This paper explores woven frames in separable Hilbert spaces with an initial focus onthe finite-dimensional case. We begin by simplifying the problem to bases, for whichwe obtain a unique characterization. We establish a condition that is both necessaryand sufficient for vector reconstruction, which is applicable to Fourier matrices. Fur-thermore, we show that these characterizations are still valid in the infinite dimensionalcase, for Riesz bases. Finally, we obtain several results for weaving Riesz bases oftranslations.
Palabras clave: Invariant subspaces , Frames , Exponential bases , Synthesis operator
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/265644
URL: https://link.springer.com/10.1007/s00041-024-10134-7
DOI: https://doi.org/10.1007/s00041-024-10134-7
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Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Cabrelli, Carlos; Molter, Ursula Maria; Negreira Kun, Felipe; Weaving Riesz Bases; Springer; Journal Of Fourier Analysis And Applications; 31; 1; 3-2025; 1-20
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