Evento

Frames by Iterations in shift-invariant spaces

Aguilera Aguilera, Alejandra PatriciaIcon ; Cabrelli, CarlosIcon ; Carbajal, Diana AgustinaIcon ; Paternostro, VictoriaIcon
Tipo del evento: Congreso
Nombre del evento: 13th International conference on sampling theory and applications (SampTA)
Fecha del evento: 08/07/2019
Institución Organizadora: Université de Bordeaux;
Título de la revista: 2019 13th International conference on Sampling Theory and Applications (SampTA)
Editorial: Institute of Electrical and Electronics Engineers
Idioma: Inglés
Clasificación temática:

Resumen

In this note we solve the dynamical sampling problem for a class of shift-preserving (SP) operators, acting on a finitely generated shift-invariant space (FSIS). We find conditions on the operator and on a finite set of functions in the FSIS in order that the iterations of the operator on the functions produce a frame generator set. That is, the integer translations of the frame generator set is a frame of the FSIS. In order to obtain these results, we study the structure of SP operators and obtain a generalized finite dimensional spectral theorem.
Palabras clave: SHIFT-INVARIANT SPACES , SHIFT-PRESERVING OPERATORS , RANGE FUNCTION , RANGE 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/11336/222680
DOI: http://dx.doi.org/10.1109/SampTA45681.2019.9030935
URL: https://ieeexplore.ieee.org/document/9030935
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Eventos(IMAS)
Eventos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Frames by Iterations in shift-invariant spaces; 13th International conference on sampling theory and applications (SampTA); Bordeaux; Francia; 2019; 1-4
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