Dynamical sampling for shift-preserving operators

Aguilera Aguilera, Alejandra Patricia; Cabrelli, Carlos; Carbajal, Diana Agustina; Paternostro, Victoria

info:eu-repo/semantics/article

Fecha

2021-03

Registro en:

Aguilera Aguilera, Alejandra Patricia; Cabrelli, Carlos; Carbajal, Diana Agustina; Paternostro, Victoria; Dynamical sampling for shift-preserving operators; Academic Press Inc Elsevier Science; Applied And Computational Harmonic Analysis; 51; 3-2021; 258-274

1063-5203

http://hdl.handle.net/11336/161964

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4409686

Autor

Aguilera Aguilera, Alejandra Patricia

Cabrelli, Carlos

Carbajal, Diana Agustina

Paternostro, Victoria

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

In this note, we solve the dynamical sampling problem for a class of shift-preserving operators L:V→V acting on a finitely generated shift-invariant space V. We find conditions on L and a finite set of functions of V so that the iterations of the operator L on the functions produce a frame generator set of V. This means that the integer translations of the generators form a frame of V.

Materias

DYNAMICAL SAMPLING

FRAMES

RANGE FUNCTION

RANGE OPERATOR

SHIFT-INVARIANT SPACES

SHIFT-PRESERVING OPERATORS

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