A time domain characterization of vector-valued subspace weak Gabor bi-frames

The construction of bi-frames is a fundamental problem in frame theory. Due to their wide applications, the study of vector-valued frames and subspace frames has interested many mathematicians in recent years. In this paper, we introduce the weak Gabor bi-frame (WGBF) in vector-valued subspaces, cha...

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Detalles Bibliográficos
Autores principales: Zhao, Jing, Li, Yun-Zhang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6013547/
https://www.ncbi.nlm.nih.gov/pubmed/30137736
http://dx.doi.org/10.1186/s13660-018-1733-8
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author Zhao, Jing
Li, Yun-Zhang
author_facet Zhao, Jing
Li, Yun-Zhang
author_sort Zhao, Jing
collection PubMed
description The construction of bi-frames is a fundamental problem in frame theory. Due to their wide applications, the study of vector-valued frames and subspace frames has interested many mathematicians in recent years. In this paper, we introduce the weak Gabor bi-frame (WGBF) in vector-valued subspaces, characterize WGBFs on the time domain, and present some examples.
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spelling pubmed-60135472018-07-04 A time domain characterization of vector-valued subspace weak Gabor bi-frames Zhao, Jing Li, Yun-Zhang J Inequal Appl Research The construction of bi-frames is a fundamental problem in frame theory. Due to their wide applications, the study of vector-valued frames and subspace frames has interested many mathematicians in recent years. In this paper, we introduce the weak Gabor bi-frame (WGBF) in vector-valued subspaces, characterize WGBFs on the time domain, and present some examples. Springer International Publishing 2018-06-22 2018 /pmc/articles/PMC6013547/ /pubmed/30137736 http://dx.doi.org/10.1186/s13660-018-1733-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhao, Jing
Li, Yun-Zhang
A time domain characterization of vector-valued subspace weak Gabor bi-frames
title A time domain characterization of vector-valued subspace weak Gabor bi-frames
title_full A time domain characterization of vector-valued subspace weak Gabor bi-frames
title_fullStr A time domain characterization of vector-valued subspace weak Gabor bi-frames
title_full_unstemmed A time domain characterization of vector-valued subspace weak Gabor bi-frames
title_short A time domain characterization of vector-valued subspace weak Gabor bi-frames
title_sort time domain characterization of vector-valued subspace weak gabor bi-frames
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6013547/
https://www.ncbi.nlm.nih.gov/pubmed/30137736
http://dx.doi.org/10.1186/s13660-018-1733-8
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