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Which linear operators preserve outer functions?
Kou, Kit Ian1; Liu, Junming2

The aim of this study is to determine the systems that preserve the minimum phase property in signal processing. The minimum phase signals are closely related to outer functions. A basic mathematical question that arises in geophysical imaging is to characterize the linear operators preserving the set of outer functions in Hardy spaces. It is shown that a bounded linear operator on the Hardy space HP, 1 < p < infinity, preserving the set of outer functions is necessarily a weighted composition operator. Moreover, an operator preserving the set of shifted outer functions is necessarily a weighted composition operator as well. These results complement work by Gibson and Lamoureux. (C) 2017 Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG).

KeywordHardy Space Outer Function Weighted Composition Operator
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Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000417664000004
The Source to ArticleWOS
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorLiu, Junming
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao
2.School of Applied Mathematics, Guangdong University of Technology, Guangzhou, Guangdong 510006, PR China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Kou, Kit Ian,Liu, Junming. Which linear operators preserve outer functions?[J]. INDAGATIONES MATHEMATICAE-NEW SERIES,2017,28(6):1144-1156.
APA Kou, Kit Ian,&Liu, Junming.(2017).Which linear operators preserve outer functions?.INDAGATIONES MATHEMATICAE-NEW SERIES,28(6),1144-1156.
MLA Kou, Kit Ian,et al."Which linear operators preserve outer functions?".INDAGATIONES MATHEMATICAE-NEW SERIES 28.6(2017):1144-1156.
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