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Cabrelli, C.; Lee, D.G.; Molter, U.; Pfander, G.E. "Time-frequency shift invariance of Gabor spaces generated by integer lattices" (2019) Journal of Mathematical Analysis and Applications. 474(2):1289-1305
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Abstract:

We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its time-frequency shift invariance with respect to a finer integer lattice. The extreme cases of full translation invariance, full modulation invariance, and full time-frequency shift invariance are also considered. The results show a close analogy with the extra translation invariance of shift-invariant spaces. © 2019 Elsevier Inc.

Registro:

Documento: Artículo
Título:Time-frequency shift invariance of Gabor spaces generated by integer lattices
Autor:Cabrelli, C.; Lee, D.G.; Molter, U.; Pfander, G.E.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
IMAS/CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Lehrstuhl für Mathematik – Wissenschaftliches Rechnen, Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, Eichstätt, 85071, Germany
Palabras clave:Extra time-frequency shift invariance; Gabor space; Shift-invariant space; Time-frequency analysis
Año:2019
Volumen:474
Número:2
Página de inicio:1289
Página de fin:1305
DOI: http://dx.doi.org/10.1016/j.jmaa.2019.02.017
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v474_n2_p1289_Cabrelli

Referencias:

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Citas:

---------- APA ----------
Cabrelli, C., Lee, D.G., Molter, U. & Pfander, G.E. (2019) . Time-frequency shift invariance of Gabor spaces generated by integer lattices. Journal of Mathematical Analysis and Applications, 474(2), 1289-1305.
http://dx.doi.org/10.1016/j.jmaa.2019.02.017
---------- CHICAGO ----------
Cabrelli, C., Lee, D.G., Molter, U., Pfander, G.E. "Time-frequency shift invariance of Gabor spaces generated by integer lattices" . Journal of Mathematical Analysis and Applications 474, no. 2 (2019) : 1289-1305.
http://dx.doi.org/10.1016/j.jmaa.2019.02.017
---------- MLA ----------
Cabrelli, C., Lee, D.G., Molter, U., Pfander, G.E. "Time-frequency shift invariance of Gabor spaces generated by integer lattices" . Journal of Mathematical Analysis and Applications, vol. 474, no. 2, 2019, pp. 1289-1305.
http://dx.doi.org/10.1016/j.jmaa.2019.02.017
---------- VANCOUVER ----------
Cabrelli, C., Lee, D.G., Molter, U., Pfander, G.E. Time-frequency shift invariance of Gabor spaces generated by integer lattices. J. Math. Anal. Appl. 2019;474(2):1289-1305.
http://dx.doi.org/10.1016/j.jmaa.2019.02.017