Artículo
Antezana, J.; Corach, G.; Ruiz, M.; Stojanoff, D. "Oblique projections and frames" (2006) Proceedings of the American Mathematical Society. 134(4):1031-1037
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Abstract:
We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K. of H. We show that all frames with infinite excess and frame bounds 1 ≤ A ≤ B are of this type. This gives a generalization of a result of Han and Larson which only holds for normalized tight frames. ©2005 American Mathematical Society.
Registro:
| Documento: | Artículo |
| Título: | Oblique projections and frames |
| Autor: | Antezana, J.; Corach, G.; Ruiz, M.; Stojanoff, D. |
| Filiación: | IAM-CONICET, Departamento de Matemática, FCE-UNLP, La Plata, Argentina IAM-CONICET, Departamento de Matemática, FI-UBA, Saavedra 15, Piso 3, (1083), Cd. Auton. de Buenos Aires, Argentina |
| Palabras clave: | Frames; Oblique projections |
| Año: | 2006 |
| Volumen: | 134 |
| Número: | 4 |
| Página de inicio: | 1031 |
| Página de fin: | 1037 |
| DOI: | http://dx.doi.org/10.1090/S0002-9939-05-08143-8 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v134_n4_p1031_Antezana |
Referencias:
- Balan, R., Casazza, P., Heil, C., Landau, Z., Deficits and excesses of frames (2003) Advances in Computational Mathematics, 18, pp. 93-116. , MR1968114 (2004a:42040)
- Casazza, P.G., Han, D., Larson, D.R., Frames for Banach spaces (1999) Contemp. Math., 247, pp. 149-182. , MR1738089 (2000m:46015)
- Christensen, O., (2003) An Introduction to Frames and Riesz Bases, , Birkhäuser, Boston. MR1946982 (2003k:42001)
- Han, D., Larson, D.R., Frames, bases and group representations (2000) Mem. Amer. Math. Soc., 147 (697). , MR1686653 (2001a:47013)
- Heil, C.E., Walnut, D.F., Continuous and discrete wavelet transforms (1989) SIAM Rev., 31, pp. 628-666. , MR1025485 (91c:42032)
- Holub, J.R., Pre-frame operators, Besselian frames and near-Riesz bases in Hilbert spaces (1994) Proc. Amer. Math. Soc., 122, pp. 779-785. , MR1204376 (95a:46030)
- Young, R.M., (2001) An Introduction to Nonharmonic Fourier Series (Revised First Edition), , Academic Press, San Diego. MR1836633 (2002b:42001)
Citas:
---------- APA ----------
Antezana, J., Corach, G., Ruiz, M. & Stojanoff, D. (2006) . Oblique projections and frames. Proceedings of the American Mathematical Society, 134(4), 1031-1037.http://dx.doi.org/10.1090/S0002-9939-05-08143-8
---------- CHICAGO ----------
Antezana, J., Corach, G., Ruiz, M., Stojanoff, D. "Oblique projections and frames" . Proceedings of the American Mathematical Society 134, no. 4 (2006) : 1031-1037.http://dx.doi.org/10.1090/S0002-9939-05-08143-8
---------- MLA ----------
Antezana, J., Corach, G., Ruiz, M., Stojanoff, D. "Oblique projections and frames" . Proceedings of the American Mathematical Society, vol. 134, no. 4, 2006, pp. 1031-1037.http://dx.doi.org/10.1090/S0002-9939-05-08143-8
---------- VANCOUVER ----------
Antezana, J., Corach, G., Ruiz, M., Stojanoff, D. Oblique projections and frames. Proc. Am. Math. Soc. 2006;134(4):1031-1037.http://dx.doi.org/10.1090/S0002-9939-05-08143-8
