Further results on the connectivity of Parseval frame wavelets
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- by G. Garrigós, E. Hernández, H. Šikić and F. Soria PDF
- Proc. Amer. Math. Soc. 134 (2006), 3211-3221 Request permission
Abstract:
In a previous paper, the authors introduced new ideas to treat the problem of connectivity of Parseval frames. With these ideas it was shown that a large set of Parseval frames is arcwise connected. In this article we exhibit a larger class of Parseval frames for which the arcwise connectivity is true. This larger class fails to include all Parseval frames.References
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Additional Information
- G. Garrigós
- Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
- Email: gustavo.garrigos@uam.es
- E. Hernández
- Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
- Email: eugenio.hernandez@uam.es
- H. Šikić
- Affiliation: Department of Mathematics, University of Zagreb, Bijenic̆ka 30, 10000 Zagreb, Croatia
- Email: hsikic@math.hr
- F. Soria
- Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
- MR Author ID: 164980
- Email: fernando.soria@uam.es
- Received by editor(s): January 24, 2005
- Received by editor(s) in revised form: May 12, 2005
- Published electronically: May 11, 2006
- Additional Notes: The first, second and fourth authors were supported by grant MTM2004-0678, MEC (Spain). The third author was supported by grants MZOŠ 0037118 (Croatia) and USA-Croatia NSF INT-0245238. The first author was also supported by Programa Ramón y Cajal, 2001, MCyT (Spain).
- Communicated by: David R. Larson
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 3211-3221
- MSC (2000): Primary 42C15, 42C40
- DOI: https://doi.org/10.1090/S0002-9939-06-08358-4
- MathSciNet review: 2231904