Optimal approximation by Blaschke forms
Qian T.1; Wegert E.2
Source PublicationComplex Variables and Elliptic Equations
ISSN17476933 17476941

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
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Indexed BySCI
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000327835400010
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Cited Times [WOS]:20   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
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
Recommended Citation
GB/T 7714
Qian T.,Wegert E.. Optimal approximation by Blaschke forms[J]. Complex Variables and Elliptic Equations,2013,58(1):123-133.
APA Qian T.,&Wegert E..(2013).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(2013):123-133.
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