Dual fusion frames
The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used...
Guardado en:
| Autor principal: | |
|---|---|
| Otros Autores: | , , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Birkhauser Verlag AG
2014
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 04523caa a22005417a 4500 | ||
|---|---|---|---|
| 001 | PAPER-14730 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204518.0 | ||
| 008 | 190411s2014 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84922081680 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Heineken, S.B. | |
| 245 | 1 | 0 | |a Dual fusion frames |
| 260 | |b Birkhauser Verlag AG |c 2014 | ||
| 270 | 1 | 0 | |m Heineken, S.B.; Departamento de Matemática and IMAS, FCEyN, Universidad de Buenos Aires and CONICET, Pabellón I, Ciudad Universitaria, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Casazza, P.G., The art of frame theory (2000) Taiwanese Jour. of Math., 4 (2), pp. 129-202 | ||
| 504 | |a Casazza, P.G., Kutyniok, G., Frames of subspaces, Contemp (2004) Math, 345, pp. 87-113 | ||
| 504 | |a Casazza, P.G., Kutyniok, G., (2012) (Eds.), Finite Frames. Theory and Applications, , Birkhäuser, Boston: | ||
| 504 | |a Casazza, P.G., Kutyniok, G., Li, S., Fusion frames and distributed processing (2008) Appl. Comput. Harmon. Anal, 25, pp. 114-132 | ||
| 504 | |a Christensen, O., An introduction to frames and Riesz bases (2003) Appl. Numer. Harmon. Anal. | ||
| 504 | |a Daubechies, I., Ten Lectures on Wavelets, SIAM, Philadelphia (1992) PA | ||
| 504 | |a Duffin, R.J., Schaeffer, A.C., A class of nonharmonic Fourier series (1952) Trans. Amer. Math. Soc., 72, pp. 341-366 | ||
| 504 | |a Heineken, S.B., Morillas, P.M., Properties of finite dual fusion frames (2014) Linear Algebra Appl., 453, pp. 1-27 | ||
| 504 | |a Ruiz, M.A., Stojanoff, D., Some properties of frames of subspaces obtained by operator theory methods (2008) J. Math. Anal. Appl., 343, pp. 366-378 | ||
| 520 | 3 | |a The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We show that with this definition in many cases dual fusion frames behave similar to dual frames. We present examples of non-canonical dual fusion frames. © 2014, Springer Basel. |l eng | |
| 536 | |a Detalles de la financiación: Agencia Nacional de Promoción Científica y Tecnológica, P-317902 | ||
| 536 | |a Detalles de la financiación: Fondo para la Investigación Científica y Tecnológica | ||
| 536 | |a Detalles de la financiación: Acknowledgements. The authors thank the referee for the valuable comments and suggestions that improved the presentation of the paper. S. B. Heineken thanks for the hospitality during her visit at the Departamento de Matemática of FCFMyN, UNSL. This work was supported by the grants UBACyT 2011-2014 (UBA), PICT-2007-00865 (FonCyT, ANPCyT), and P-317902 (UNSL). | ||
| 593 | |a Departamento de Matemática and IMAS, FCEyN, Universidad de Buenos Aires and CONICET, Pabellón I, Ciudad Universitaria, Buenos Aires, C1428EGA, Argentina | ||
| 593 | |a Departamento de Matemática and IMASL, FCFMyN, Universidad Nacional de San Luis and CONICET, Ejército de los Andes 950, San Luis, 5700, Argentina | ||
| 593 | |a Departamento de Matemática and IMASL, FCFMyN, Universidad Nacional de San Luis, Ejército de los Andes 950, San Luis, 5700, Argentina | ||
| 593 | |a Departamento de Matemática, FCFMyN, Universidad Nacional de San Luis, Ejército de los Andes 950, San Luis, 5700, Argentina | ||
| 690 | 1 | 0 | |a DUAL FUSION FRAMES |
| 690 | 1 | 0 | |a FRAMES |
| 690 | 1 | 0 | |a FUSION FRAMES |
| 690 | 1 | 0 | |a GABOR SYSTEMS |
| 700 | 1 | |a Morillas, P.M. | |
| 700 | 1 | |a Benavente, A.M. | |
| 700 | 1 | |a Zakowicz, M.I. | |
| 773 | 0 | |d Birkhauser Verlag AG, 2014 |g v. 103 |h pp. 355-365 |k n. 4 |p Arch. Math. |x 0003889X |w (AR-BaUEN)CENRE-1370 |t Archiv der Mathematik | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84922081680&doi=10.1007%2fs00013-014-0697-2&partnerID=40&md5=3a194c3c350842baba3aafc2440cd566 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00013-014-0697-2 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0003889X_v103_n4_p355_Heineken |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0003889X_v103_n4_p355_Heineken |y Registro en la Biblioteca Digital |
| 961 | |a paper_0003889X_v103_n4_p355_Heineken |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 75683 | ||