INVESTIGADORES
MOLTER ursula Maria
artículos
Título:
Invariance of a Shift-Invariant Space
Autor/es:
AKRAM ALDROUBI; CARLOS CABRELLI; CHRISTOPHER HEIL; KERI KORNELSON; URSULA MOLTER
Revista:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Editorial:
BIRKHAUSER BOSTON INC
Referencias:
Año: 2010 vol. 16 p. 60 - 75
ISSN:
1069-5869
Resumen:
A shift-invariant space is a space of functions that isinvariant under integer translations.Such spaces are often used as models for spaces of signals and imagesin mathematical and engineering applications.This paper characterizes those shift-invariant subspaces~$S$that are also invariant under additional (non-integer) translations.For the case of finitely generated spaces, these spaces are characterizedin terms of the generators of the space.As a consequence, it is shown that principal shift-invariant spaceswith a compactly supported generator cannot be invariant under anynon-integer translations.
