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Which linear operators preserve outer functions?
Kou, Kit Ian1; Liu, Junming2
2017-12
Source PublicationINDAGATIONES MATHEMATICAE-NEW SERIES
ISSN0019-3577
Volume28Issue:6Pages:1144-1156
Abstract

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
DOIhttps://doi.org/10.1016/j.indag.2017.08.005
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000417664000004
PublisherELSEVIER SCIENCE BV
The Source to ArticleWOS
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Document TypeJournal article
专题DEPARTMENT OF MATHEMATICS
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
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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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