On the minimizers of the fusion frame potential
We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperator...
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Wiley-VCH Verlag
2018
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04832caa a22005777a 4500 | ||
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| 001 | PAPER-17083 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204812.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85034247834 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Heineken, S.B. | |
| 245 | 1 | 3 | |a On the minimizers of the fusion frame potential |
| 260 | |b Wiley-VCH Verlag |c 2018 | ||
| 270 | 1 | 0 | |m Heineken, S.B.; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, IMAS, UBA-CONICETArgentina; email: sheinek@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Benedetto, J.J., Fickus, M., Finite normalized tight frames (2003) Adv. Comput. Math., 18, pp. 357-385 | ||
| 504 | |a Carrizo, I., Heineken, S., Critical pairs of sequences of a mixed frame potential (2014) Numer. Funct. Anal. Optim., 35, pp. 665-684 | ||
| 504 | |a Casazza, P.G., Fickus, M., Minimizing fusion frame potential (2009) Acta Appl. Math., 107, pp. 7-24 | ||
| 504 | |a Casazza, P.G., A physical interpretation of tight frames, Harmonic Analysis and Applications (2006) Appl. Numer. Harmon. Anal., pp. 51-76. , Birkhäuser Boston, Boston | ||
| 504 | |a Casazza, P.G., Kutyniok, G., Finite frames. Theory and applications (2012) Appl. Numer. Harmon. Anal., , (eds.), Birkhäuser, Boston | ||
| 504 | |a Casazza, P.G., Kutyniok, G., Frames of subspaces (2004) Contemp. Math., 345, pp. 87-113 | ||
| 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., (2003) An introduction to frames and Riesz bases, , Birkhäuser, Boston | ||
| 504 | |a Fickus, M., Convolutional frames and the frame potential (2005) Appl. Comput. Harmon. Anal., 19, pp. 77-91 | ||
| 504 | |a Johnson, B.D., Okoudjou, K.A., Frame potential and finite abelian groups (2008) Contemp. Math., 464, pp. 137-148 | ||
| 504 | |a Kovačević, J., Chebira, A., An introduction to frames (2008) Found. Trends Signal Process., 2, pp. 1-94 | ||
| 504 | |a Massey, P.G., Ruiz, M.A., Stojanoff, D., The structure of the minimizers of the frame potential on fusion frames (2010) J. Fourier Anal. Appl., 16, pp. 514-543 | ||
| 520 | 3 | |a We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperators of the fusion frame operator. This result will be related to the existence of tight fusion frames. In this way we generalize results known for the classical vector frame potential. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |l eng | |
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: Universidad Nacional de San Luis, PIP 112-201501-00589-CO | ||
| 536 | |a Detalles de la financiación: This research has been partially supported by Grants UBACyT 2011-2014 (UBA), PROIPRO 03-2116 (UNSL) and PIP 112-201501-00589-CO (CONICET). We thank the anonymous referee for valuable comments that helped to improve the paper. | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, IMAS, UBA-CONICET, Buenos Aires, C1428EGA C.A.B.A., Argentina | ||
| 593 | |a Instituto de Matemática Aplicada San Luis, UNSL-CONICET, Ejército de los Andes 950, San Luis, 5700, Argentina | ||
| 593 | |a Departamento de Matemática, FCFMyN, UNSL, Ejército de los Andes 950, San Luis, 5700, Argentina | ||
| 690 | 1 | 0 | |a FRAMES |
| 690 | 1 | 0 | |a FUNDAMENTAL INEQUALITY |
| 690 | 1 | 0 | |a FUSION FRAME POTENTIAL |
| 690 | 1 | 0 | |a FUSION FRAMES |
| 690 | 1 | 0 | |a IRREGULARITY |
| 690 | 1 | 0 | |a TIGHT FUSION FRAMES |
| 700 | 1 | |a Llarena, J.P. | |
| 700 | 1 | |a Morillas, P.M. | |
| 773 | 0 | |d Wiley-VCH Verlag, 2018 |g v. 291 |h pp. 669-681 |k n. 4 |p Math. Nachr. |x 0025584X |t Mathematische Nachrichten | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85034247834&doi=10.1002%2fmana.201500493&partnerID=40&md5=3db608f8771c8fc9995ae1af0bf83dc4 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1002/mana.201500493 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p669_Heineken |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p669_Heineken |y Registro en la Biblioteca Digital |
| 961 | |a paper_0025584X_v291_n4_p669_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 78036 | ||