Artículo
Carrizo, I.; Heineken, S. "Critical pairs of sequences of a mixed frame potential" (2014) Numerical Functional Analysis and Optimization. 35(6):665-684
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Abstract:
The classical frame potential in a finite-dimensional Hilbert space has been introduced by Benedetto and Fickus, who showed that all finite unit-norm tight frames can be characterized as the minimizers of this energy functional. This was the starting point of a series of new results in frame theory, related to finding tight frames with determined lengths. The frame potential has been studied in the traditional setting as well as in the finite-dimensional fusion frame context. In this work we introduce the concept of mixed frame potential, which generalizes the notion of the Benedetto-Fickus frame potential. We study properties of this new potential, and give the structure of its critical pairs of sequences on a suitable restricted domain. For a given sequence {m } m=1.. N in K, where K is or , we obtain necessary and sufficient conditions in order to have a dual pair of frames {f m m=1. N, {g m } m=1.. N such that f m, g m = m for all m = 1.. N. copy; 2014 Copyright Taylor & Francis Group, LLC.
Registro:
| Documento: | Artículo |
| Título: | Critical pairs of sequences of a mixed frame potential |
| Autor: | Carrizo, I.; Heineken, S. |
| Filiación: | NuHAG, Faculty of Mathematics, University of Vienna, Vienna, Austria Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IMAS-CONICET, C1428EGA C.A.B.A, Buenos Aires, Argentina |
| Palabras clave: | Dual frames; Finite frames; Frame potential; Lagrange multipliers; Functional analysis; Mathematical techniques; Dual frames; Energy functionals; Finite frames; Frame potential; Frame theory; Fusion frames; New results; Restricted-domain; Lagrange multipliers |
| Año: | 2014 |
| Volumen: | 35 |
| Número: | 6 |
| Página de inicio: | 665 |
| Página de fin: | 684 |
| DOI: | http://dx.doi.org/10.1080/01630563.2013.837483 |
| 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_v35_n6_p665_Carrizo |
Referencias:
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- Strohmer, T., Heath Jr., R., Grassmanian frames with applications to coding and communications (2003) Appl. Comput. Harmon. Anal., 14 (3), pp. 257-275
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Citas:
---------- APA ----------
Carrizo, I. & Heineken, S. (2014) . Critical pairs of sequences of a mixed frame potential. Numerical Functional Analysis and Optimization, 35(6), 665-684.http://dx.doi.org/10.1080/01630563.2013.837483
---------- CHICAGO ----------
Carrizo, I., Heineken, S. "Critical pairs of sequences of a mixed frame potential" . Numerical Functional Analysis and Optimization 35, no. 6 (2014) : 665-684.http://dx.doi.org/10.1080/01630563.2013.837483
---------- MLA ----------
Carrizo, I., Heineken, S. "Critical pairs of sequences of a mixed frame potential" . Numerical Functional Analysis and Optimization, vol. 35, no. 6, 2014, pp. 665-684.http://dx.doi.org/10.1080/01630563.2013.837483
---------- VANCOUVER ----------
Carrizo, I., Heineken, S. Critical pairs of sequences of a mixed frame potential. Numer Funct Anal Optim. 2014;35(6):665-684.http://dx.doi.org/10.1080/01630563.2013.837483
