info:eu-repo/semantics/article
Invariance of a shift-invariant space
Fecha
2010-01Registro en:
Aldroubi, Akram; Cabrelli, Carlos; Heil, Christopher; Kornelson, Keri; Molter, Ursula Maria; Invariance of a shift-invariant space; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 16; 1; 1-2010; 60-75
1069-5869
1531-5851
CONICET Digital
CONICET
Autor
Aldroubi, Akram
Cabrelli, Carlos
Heil, Christopher
Kornelson, Keri
Molter, Ursula Maria
Resumen
A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in 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 characterized in terms of the generators of the space. As a consequence, it is shown that principal shift-invariant spaces with a compactly supported generator cannot be invariant under any non-integer translations.