INVESTIGADORES
GONZALEZ Maria Celeste
artículos
Título:
Sampling and reconstruction by means of weighted inverses
Autor/es:
M. LAURA ARIAS; MARÍA CELESTE GONZALEZ
Revista:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Editorial:
BIRKHAUSER BOSTON INC
Referencias:
Año: 2020
ISSN:
1069-5869
Resumen:
In this article, we address the problem of reconstructing an element in a Hilbert space from its samples by means of a weighted least square approximation. We show how this problem is linked with the notions of weighted inverses, weighted projections and an angle condition known as compatibility. In addition, we study perfect reconstruction operators and their relationship with the previous problem. Finally, since the reconstructions through these approaches may not be unique, we propose different criteria for choosing an optimal one among all of them.
