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Abstract:

In this article we derive some explicit decay estimates for the dual system of a basis of functions polynomially localized in space. © 2009 SAMPLING PUBLISHING.

Registro:

Documento: Artículo
Título:Explicit localization estimates for spline-type spaces
Autor:Romero, J.L.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Dual basis; Localization; Spline-type space
Año:2009
Volumen:8
Número:3
Página de inicio:249
Página de fin:259
Título revista:Sampling Theory in Signal and Image Processing
Título revista abreviado:Sampl.Theory Signal Image Proces.
ISSN:15306429
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p249_Romero

Referencias:

  • Balan, R.M., Casazza, P.G., Heil, C., Landau, Z., Density, overcompleteness, and localization of frames I: Theory (2006) J. Fourier Anal. Appl, 12 (2), pp. 105-143
  • Bratteli, O., Robinson, D.W., Unbounded derivations of c*-algebras (1975) Commun. Math. Phys, 42, pp. 253-268
  • Feichtinger, H.G., Gewichtsfunktionen auf lokalkompakten Gruppen. Sitzungsber.d.österr (1979) Akad.wiss, 188, pp. 451-471
  • Feichtinger, H.G., Gröchenig, K., Banach spaces related to integrable group representations and their atomic decompositions, I (1989) J. Funct. Anal, 86, pp. 307-340. , reprinted in 'Fundamental Papers in Wavelet Theory' Heil, Christopher and Walnut, David F.(2006)
  • Fornasier, M., Gröchenig, K., Intrinsic localization of frames (2005) Constr. Approx, 22 (3), pp. 395-415
  • Gröchenig, K., Localization of Frames, Banach Frames, and the Invertibility of the Frame Operator (2004) J. Fourier Anal. Appl, 10 (2), pp. 105-132
  • Gröchenig, K., Klotz, A., (2009) Noncommutative Approximation: Inverse-closed Subalgebras and Off-diagonal Decay of Matrices, , http://arxiv.org/abs/0904.0386, Preprint, available at
  • Jaffard, S., Propriétés des matrices bien localisées près de leur diagonale et quelques applications (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire, 7 (5), pp. 461-476
  • Kissin, E., Shulman, V., Dense q-subalgebras of banach and c*-algebras and unbounded derivations of banach and c*-algebras (1993) Proc. Edinburgh Math. Soc, 36, pp. 261-276

Citas:

---------- APA ----------
(2009) . Explicit localization estimates for spline-type spaces. Sampling Theory in Signal and Image Processing, 8(3), 249-259.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p249_Romero [ ]
---------- CHICAGO ----------
Romero, J.L. "Explicit localization estimates for spline-type spaces" . Sampling Theory in Signal and Image Processing 8, no. 3 (2009) : 249-259.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p249_Romero [ ]
---------- MLA ----------
Romero, J.L. "Explicit localization estimates for spline-type spaces" . Sampling Theory in Signal and Image Processing, vol. 8, no. 3, 2009, pp. 249-259.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p249_Romero [ ]
---------- VANCOUVER ----------
Romero, J.L. Explicit localization estimates for spline-type spaces. Sampl.Theory Signal Image Proces. 2009;8(3):249-259.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p249_Romero [ ]