![](/images/graphics-bg.png)
Modeling Sampling in Tensor Products of Unitary Invariant Subspaces
Joint Authors
Ibort, Alberto
García, A. G.
Muñoz-Bouzo, M. J.
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The use of unitary invariant subspaces of a Hilbert space H is nowadays a recognized fact in the treatment of sampling problems.
Indeed, shift-invariant subspaces of L 2 ( R ) and also periodic extensions of finite signals are remarkable examples where this occurs.
As a consequence, the availability of an abstract unitary sampling theory becomes a useful tool to handle these problems.
In this paper we derive a sampling theory for tensor products of unitary invariant subspaces.
This allows merging the cases of finitely/infinitely generated unitary invariant subspaces formerly studied in the mathematical literature; it also allows introducing the several variables case.
As the involved samples are identified as frame coefficients in suitable tensor product spaces, the relevant mathematical technique is that of frame theory, involving both finite/infinite dimensional cases.
American Psychological Association (APA)
García, A. G.& Ibort, Alberto& Muñoz-Bouzo, M. J.. 2016. Modeling Sampling in Tensor Products of Unitary Invariant Subspaces. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1108609
Modern Language Association (MLA)
García, A. G.…[et al.]. Modeling Sampling in Tensor Products of Unitary Invariant Subspaces. Journal of Function Spaces No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1108609
American Medical Association (AMA)
García, A. G.& Ibort, Alberto& Muñoz-Bouzo, M. J.. Modeling Sampling in Tensor Products of Unitary Invariant Subspaces. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1108609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108609