INVESTIGADORES
CABRELLI Carlos Alberto
congresos y reuniones científicas
Título:
Frames by Iterations in Shift-invariant Spaces
Autor/es:
ALEJANDRA AGUILERA; CARLOS CABRELLI; DIANA CARBAJAL; VICTORIA PATERNOSTRO
Lugar:
Bordeaux
Reunión:
Congreso; 13th International conference on Sampling Theory and Applications (SampTA); 2019
Institución organizadora:
SAMPTA
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.
