Navegar

Colección

Datos Estadísticas

Conferencia

Kutyniok, G.; Paternostro, V.; Philipp, F.; Goyal V.K.; Van De Ville D.; Van De Ville; Papadakis M.; Van De Ville D.; Papadakis M.; Goyal V.K.; Van De Ville "Perturbations of fusion frames and the effect on their canonical dual" (2015) Wavelets and Sparsity XVI. 9597
El editor no permite incluir ninguna versión del artículo en el Repositorio.
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of original and perturbed fusion frame. It turns out that the duals are stable under these perturbations. © 2015 SPIE.

Registro:

Documento: Conferencia
Título:Perturbations of fusion frames and the effect on their canonical dual
Autor:Kutyniok, G.; Paternostro, V.; Philipp, F.; Goyal V.K.; Van De Ville D.; Van De Ville; Papadakis M.; Van De Ville D.; Papadakis M.; Goyal V.K.; Van De Ville
Filiación:Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, MA 5-4, Germany
Universidad de Buenos Aires and IMAS-CONICET, Consejo Nacional de Investigaciones Cientícas y Técnicas, Buenos Aires, 1428, Argentina
Palabras clave:Canonical dual; Fusion frame; Perturbation; Canonical dual; Fusion frames; Measurement system; Perturbation; Real-world; Small perturbations; Optical engineering
Año:2015
Volumen:9597
DOI: http://dx.doi.org/10.1117/12.2187063
Título revista:Wavelets and Sparsity XVI
Título revista abreviado:Proc SPIE Int Soc Opt Eng
ISSN:0277786X
CODEN:PSISD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v9597_n_p_Kutyniok

Referencias:

  • Christensen, O., An introduction to frames and Riesz bases (2003) Applied and Numerical Harmonic Analysis, , Birkhauser Boston, Inc., Boston, MA
  • Casazza, P.G., Kutyniok, G., Frames of subspaces (2003) Wavelets Frames and Operator Theory, pp. 87-113. , College Park, MD, Contemp. Math. 345, Amer. Math. Soc., Providence, RI 2004
  • Casazza, P.G., Kutyniok, G., (2012) Fusion Frames. Finite Frames: Theory and Applications, pp. 437-478. , Birkhäuser, Boston
  • Casazza, P.G., Kutyniok, G., Li, S., Fusion frames and distributed processing (2008) Appl. Comput. Harmon. Anal., 25, pp. 114-132
  • Gəvruta, P., On the duality of fusion frames (2007) J. Math. Anal. Appl., 333, pp. 871-879
  • Heineken, S., Matusiak, E., Paternostro, V., Perturbed frame sequences: Canonical dual systems, approximate reconstructions and applications (2014) Int. J. Wavelets Multiresolut. Inf. Process., 12, pp. 14500191-145001919
  • Heineken, S., Morillas, P.M., Properties of finite dual fusion frames (2014) Linear Algebra Appl., 453, pp. 1-27
  • Heineken, S., Morillas, P.M., Benavente, A.M., Zakowicz, M.I., Dual fusion frames (2014) Arch. Math., 103, pp. 355-365A4 - The Society of Photo-Optical Instrumentation Engineers (SPIE)

Citas:

---------- APA ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, Papadakis M.,..., Van De Ville (2015) . Perturbations of fusion frames and the effect on their canonical dual. Wavelets and Sparsity XVI, 9597.
http://dx.doi.org/10.1117/12.2187063
---------- CHICAGO ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, et al. "Perturbations of fusion frames and the effect on their canonical dual" . Wavelets and Sparsity XVI 9597 (2015).
http://dx.doi.org/10.1117/12.2187063
---------- MLA ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, et al. "Perturbations of fusion frames and the effect on their canonical dual" . Wavelets and Sparsity XVI, vol. 9597, 2015.
http://dx.doi.org/10.1117/12.2187063
---------- VANCOUVER ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, et al. Perturbations of fusion frames and the effect on their canonical dual. Proc SPIE Int Soc Opt Eng. 2015;9597.
http://dx.doi.org/10.1117/12.2187063