On Some Sampling-Related Frames in U-Invariant Spaces
Joint Authors
Hernández-Medina, M. A.
Fernández-Morales, H. R.
García, A. G.
Muñoz-Bouzo, M. J.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is concerned with the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space ℋ where U denotes an unitary operator defined on ℋ; besides, the dual frames having the same form are also found.
This general setting includes, in particular, shift-invariant or modulation-invariant subspaces in L2ℝ, where these frames are intimately related to the generalized sampling problem.
We also deal with some related perturbation problems.
In doing so, we need the unitary operator U to belong to a continuous group of unitary operators.
American Psychological Association (APA)
Fernández-Morales, H. R.& García, A. G.& Hernández-Medina, M. A.& Muñoz-Bouzo, M. J.. 2013. On Some Sampling-Related Frames in U-Invariant Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-496719
Modern Language Association (MLA)
Fernández-Morales, H. R.…[et al.]. On Some Sampling-Related Frames in U-Invariant Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-496719
American Medical Association (AMA)
Fernández-Morales, H. R.& García, A. G.& Hernández-Medina, M. A.& Muñoz-Bouzo, M. J.. On Some Sampling-Related Frames in U-Invariant Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-496719
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496719
