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Heineken, S.B.; Morillas, P.M. "Oblique Dual Fusion Frames" (2018) Numerical Functional Analysis and Optimization. 39(7):800-824
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Abstract:

We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in a Hilbert space are, under certain requirements, analyzed in one subspace and reconstructed in another subspace. The requirements are, on one side, the uniqueness of the reconstructed signal, and on the other what we call consistency of the sampling for fusion frames. Both conditions are naturally related to oblique projections. We study the main properties of oblique dual fusion frames and oblique dual fusion frame systems introduced in this work and present several results that provide alternative methods for their construction. © 2018 Taylor & Francis.

Registro:

Documento: Artículo
Título:Oblique Dual Fusion Frames
Autor:Heineken, S.B.; Morillas, P.M.
Filiación:IMAS, UBA-CONICET, Department of Mathematics, FCEyN, University of Buenos Aires, C.A.B.A, Argentina
Institute of Applied Mathematics of San Luis, UNSL-CONICET, San Luis, Argentina
Department of Mathematics, FCFMyN, UNSL, San Luis, Argentina
Palabras clave:Consistent reconstruction; frames; fusion frames; oblique dual frames; oblique dual fusion frames; oblique projections; Functional analysis; Mathematical techniques; Consistent reconstruction; Dual frames; frames; Fusion frames; Oblique projections; Signal processing
Año:2018
Volumen:39
Número:7
Página de inicio:800
Página de fin:824
DOI: http://dx.doi.org/10.1080/01630563.2017.1421555
Título revista:Numerical Functional Analysis and Optimization
Título revista abreviado:Numer Funct Anal Optim
ISSN:01630563
CODEN:NFAOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01630563_v39_n7_p800_Heineken

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Citas:

---------- APA ----------
Heineken, S.B. & Morillas, P.M. (2018) . Oblique Dual Fusion Frames. Numerical Functional Analysis and Optimization, 39(7), 800-824.
http://dx.doi.org/10.1080/01630563.2017.1421555
---------- CHICAGO ----------
Heineken, S.B., Morillas, P.M. "Oblique Dual Fusion Frames" . Numerical Functional Analysis and Optimization 39, no. 7 (2018) : 800-824.
http://dx.doi.org/10.1080/01630563.2017.1421555
---------- MLA ----------
Heineken, S.B., Morillas, P.M. "Oblique Dual Fusion Frames" . Numerical Functional Analysis and Optimization, vol. 39, no. 7, 2018, pp. 800-824.
http://dx.doi.org/10.1080/01630563.2017.1421555
---------- VANCOUVER ----------
Heineken, S.B., Morillas, P.M. Oblique Dual Fusion Frames. Numer Funct Anal Optim. 2018;39(7):800-824.
http://dx.doi.org/10.1080/01630563.2017.1421555