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New aspects of Beurling-Lax shift invariant subspaces
Tan L.1; Qian T.2; Chen Q.3
2015-04-01
Source PublicationApplied Mathematics and Computation
ISSN00963003
Volume256Pages:257-266
Abstract

In terms of forward and backward shift invariant subspaces, we characterize functions in Hardy spaces, or, analytic signals in the terminology of signal analysis, through multiplications between analytic and conjugate analytic signals. As applications, we give some necessary and sufficient conditions for solutions of the Bedrosian equation H(fg)=f(Hg) when f or g is a bandlimited signal. We also solve the band preserving problem by means of the shift invariant subspace method, which establishes some necessary and sufficient conditions on the functions f that make fg have bandwidth within that of the function g.

KeywordBackward Shift Invariant Subspace Band Preserving Problem Bedrosian Identity Forward Shift Invariant Subspace
DOIhttp://doi.org/10.1016/j.amc.2014.12.147
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000349979300024
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorTan L.
Affiliation1.School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, PR China
2.Faculty of Science and Technology, University of Macau, Taipa, Macau, China
3.Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, PR China
Recommended Citation
GB/T 7714
Tan L.,Qian T.,Chen Q.. New aspects of Beurling-Lax shift invariant subspaces[J]. Applied Mathematics and Computation,2015,256:257-266.
APA Tan L.,Qian T.,&Chen Q..(2015).New aspects of Beurling-Lax shift invariant subspaces.Applied Mathematics and Computation,256,257-266.
MLA Tan L.,et al."New aspects of Beurling-Lax shift invariant subspaces".Applied Mathematics and Computation 256(2015):257-266.
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