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Boundary derivatives of the phases of inner and outer functions and applications
Qian T.
2009
Source PublicationMathematical Methods in the Applied Sciences
ISSN1704214
Volume32Issue:3Pages:253
Abstract

We prove that boundary derivatives of the phases of inner functions exist and are positive almost everywhere, but those of outer functions, on the other hand, have zero mean on the boundary. The concepts and results have definitive applications to the definitions of instantaneous frequency and mono-components complying with requirements in physics and contemporary study of analytic signals. 

KeywordAmplitude-phase Modulation Analytic Signal Angular Derivative Angular Limit Blaschke Product Inner Function Instantaneous Frequency Non-tangential Boundary Limit Outer Function Singular Inner Function
DOI10.1002/mma.1032
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000262594700001
The Source to ArticleScopus
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Cited Times [WOS]:32   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationUniv Macau, Dept Math, Taipa, Peoples R China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Qian T.. Boundary derivatives of the phases of inner and outer functions and applications[J]. Mathematical Methods in the Applied Sciences,2009,32(3):253.
APA Qian T..(2009).Boundary derivatives of the phases of inner and outer functions and applications.Mathematical Methods in the Applied Sciences,32(3),253.
MLA Qian T.."Boundary derivatives of the phases of inner and outer functions and applications".Mathematical Methods in the Applied Sciences 32.3(2009):253.
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