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Abstract:

A (K;?) shift-modulation invariant space is a subspace of L 2(G) that is invariant under translations along elements in K and modulations by elements in ?. Here G is a locally compact abelian group, and K and ? are closed subgroups of G and the dual group ^ G, respectively. We provide a characterization of shift-modulation invariant spaces when K and ? are uniform lattices. This extends previous results known for L 2(R d). We develop berization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization. © Instytut Matematyczny PAN, 2012.

Registro:

Documento: Artículo
Título:Shift-modulation invariant spaces on LCA groups
Autor:Cabrelli, C.; Paternostro, V.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina
IMAS-CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Palabras clave:Fibers.; LCA groups; Range functions; Shift-modulation invariant space
Año:2012
Volumen:211
Número:1
Página de inicio:1
Página de fin:19
DOI: http://dx.doi.org/10.4064/sm211-1-1
Título revista:Studia Mathematica
Título revista abreviado:Stud. Math.
ISSN:00393223
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v211_n1_p1_Cabrelli

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Citas:

---------- APA ----------
Cabrelli, C. & Paternostro, V. (2012) . Shift-modulation invariant spaces on LCA groups. Studia Mathematica, 211(1), 1-19.
http://dx.doi.org/10.4064/sm211-1-1
---------- CHICAGO ----------
Cabrelli, C., Paternostro, V. "Shift-modulation invariant spaces on LCA groups" . Studia Mathematica 211, no. 1 (2012) : 1-19.
http://dx.doi.org/10.4064/sm211-1-1
---------- MLA ----------
Cabrelli, C., Paternostro, V. "Shift-modulation invariant spaces on LCA groups" . Studia Mathematica, vol. 211, no. 1, 2012, pp. 1-19.
http://dx.doi.org/10.4064/sm211-1-1
---------- VANCOUVER ----------
Cabrelli, C., Paternostro, V. Shift-modulation invariant spaces on LCA groups. Stud. Math. 2012;211(1):1-19.
http://dx.doi.org/10.4064/sm211-1-1