Piecewise scalable frames in Hilbert spaces
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Published:2023-11-04
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Volume:
Page:
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ISSN:0219-6913
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Container-title:International Journal of Wavelets, Multiresolution and Information Processing
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language:en
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Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.
Author:
Khosravi Amir1ORCID,
Farmani Mohammad Reza1ORCID
Affiliation:
1. Faculty of Mathematical Sciences and Computer, Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran
Abstract
Tight frames are extremely useful in applications. A scalable frame was recently introduced as a frame with the property of generating a tight frame by rescaling its frame vectors. In this paper, we consider piecewise scalable frames. We obtain some characterizations for them, and demonstrate that scalability is stable under unitary operators and isomorphisms between two Hilbert spaces. We further obtain a relation between the piecewise scalable frames in Hilbert spaces, and their tensor product
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Information Systems,Signal Processing