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Aldroubi, A.; Cabrelli, C.; Heil, C.; Kornelson, K.; Molter, U. "Invariance of a shift-invariant space" (2010) Journal of Fourier Analysis and Applications. 16(1):60-75
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Abstract:

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. © Birkhäuser Boston 2009.

Registro:

Documento: Artículo
Título:Invariance of a shift-invariant space
Autor:Aldroubi, A.; Cabrelli, C.; Heil, C.; Kornelson, K.; Molter, U.
Filiación:Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, United States
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, Argentina
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, United States
Department of Mathematics, University of Oklahoma, Norman, OK 73019-0315, United States
Palabras clave:Dimension function; Fiber space; Frames; Gramian operator; Range function; Riesz basis; Shift-invariant space; Translation-invariant space
Año:2010
Volumen:16
Número:1
Página de inicio:60
Página de fin:75
DOI: http://dx.doi.org/10.1007/s00041-009-9068-y
Título revista:Journal of Fourier Analysis and Applications
Título revista abreviado:J. Fourier Anal. Appl.
ISSN:10695869
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10695869_v16_n1_p60_Aldroubi

Referencias:

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Citas:

---------- APA ----------
Aldroubi, A., Cabrelli, C., Heil, C., Kornelson, K. & Molter, U. (2010) . Invariance of a shift-invariant space. Journal of Fourier Analysis and Applications, 16(1), 60-75.
http://dx.doi.org/10.1007/s00041-009-9068-y
---------- CHICAGO ----------
Aldroubi, A., Cabrelli, C., Heil, C., Kornelson, K., Molter, U. "Invariance of a shift-invariant space" . Journal of Fourier Analysis and Applications 16, no. 1 (2010) : 60-75.
http://dx.doi.org/10.1007/s00041-009-9068-y
---------- MLA ----------
Aldroubi, A., Cabrelli, C., Heil, C., Kornelson, K., Molter, U. "Invariance of a shift-invariant space" . Journal of Fourier Analysis and Applications, vol. 16, no. 1, 2010, pp. 60-75.
http://dx.doi.org/10.1007/s00041-009-9068-y
---------- VANCOUVER ----------
Aldroubi, A., Cabrelli, C., Heil, C., Kornelson, K., Molter, U. Invariance of a shift-invariant space. J. Fourier Anal. Appl. 2010;16(1):60-75.
http://dx.doi.org/10.1007/s00041-009-9068-y