A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces

Abstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.

Bibliographic Details
Main Authors: Jian-Ping Zhang, Yun-Zhang Li
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1232-8
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author Jian-Ping Zhang
Yun-Zhang Li
author_facet Jian-Ping Zhang
Yun-Zhang Li
author_sort Jian-Ping Zhang
collection DOAJ
description Abstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
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spelling doaj.art-c1566746f951431397c4505db18be77f2022-12-22T01:16:02ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-11-01201611810.1186/s13660-016-1232-8A characterization of nonhomogeneous wavelet dual frames in Sobolev spacesJian-Ping Zhang0Yun-Zhang Li1College of Applied Sciences, Beijing University of TechnologyCollege of Applied Sciences, Beijing University of TechnologyAbstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.http://link.springer.com/article/10.1186/s13660-016-1232-8Bessel sequenceframenonhomogeneous wavelet dual frameSobolev spaces
spellingShingle Jian-Ping Zhang
Yun-Zhang Li
A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
Journal of Inequalities and Applications
Bessel sequence
frame
nonhomogeneous wavelet dual frame
Sobolev spaces
title A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
title_full A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
title_fullStr A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
title_full_unstemmed A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
title_short A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
title_sort characterization of nonhomogeneous wavelet dual frames in sobolev spaces
topic Bessel sequence
frame
nonhomogeneous wavelet dual frame
Sobolev spaces
url http://link.springer.com/article/10.1186/s13660-016-1232-8
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