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Optimal approximation by Blaschke forms
Qian T.1; Wegert E.2
2011-06-20
Source PublicationComplex Variables and Elliptic Equations
ISSN17476933 17476941
Volume58Issue:1Pages:123-133
Abstract

We study best approximation of functions in the Hardy space H(D) by Blaschke forms, which are finite linear combinations of modified Blaschke products. These functions have poles outside the unit disk which are adapted according to the function to be decomposed. We prove the existence of minimizers and propose an algorithm for their construction. 

KeywordAdaptive Decomposition Analytic Signal Instantaneous Frequency Mono-components Rational Approximation Rational Orthogonal System Takenaka-malmquist System
DOI10.1080/17476933.2011.557152
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000327835400010
PublisherTAYLOR & FRANCIS LTD2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND
Scopus ID2-s2.0-84872045468
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorQian T.
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, China
2.Technische Universita¨t Bergakademie, Institute of Applied Analysis, D-09596 Freiberg, Germany
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Qian T.,Wegert E.. Optimal approximation by Blaschke forms[J]. Complex Variables and Elliptic Equations, 2011, 58(1), 123-133.
APA Qian T.., & Wegert E. (2011). Optimal approximation by Blaschke forms. Complex Variables and Elliptic Equations, 58(1), 123-133.
MLA Qian T.,et al."Optimal approximation by Blaschke forms".Complex Variables and Elliptic Equations 58.1(2011):123-133.
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