Construction of Frames for Shift-Invariant Spaces
Joint Authors
Simić, Suzana
Pilipović, Stevan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We construct a sequence {ϕi(·-j)∣j∈ℤ, i=1,…,r} which constitutes a p-frame for the weighted shift-invariant space Vμp(Φ)={∑i=1r∑j∈ℤci(j)ϕi(·-j)∣{ci(j)}j∈ℤ∈ℓμp, i=1,…,r}, p∈[1,∞], and generates a closed shift-invariant subspace of Lμp(ℝ).
The first construction is obtained by choosing functions ϕi, i=1,…,r, with compactly supported Fourier transforms ϕ^i, i=1,…,r.
The second construction, with compactly supported ϕi, i=1,…,r, gives the Riesz basis.
American Psychological Association (APA)
Pilipović, Stevan& Simić, Suzana. 2013. Construction of Frames for Shift-Invariant Spaces. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006010
Modern Language Association (MLA)
Pilipović, Stevan& Simić, Suzana. Construction of Frames for Shift-Invariant Spaces. Journal of Function Spaces No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1006010
American Medical Association (AMA)
Pilipović, Stevan& Simić, Suzana. Construction of Frames for Shift-Invariant Spaces. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006010
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006010