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Adaptative Decomposition: The Case of the Drury-Arveson Space
Alpay, Daniel1; Colombo, Fabrizio2; Qian, Tao3; Sabadini, Irene4
2017-12
Source PublicationJOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
ISSN1069-5869
Volume23Issue:6Pages:1426-1444
Abstract

The maximum selection principle allows to give expansions, in an adaptive way, of functions in the Hardy space of the disk in terms of Blaschke products. The expansion is specific to the given function. Blaschke factors and products have counterparts in the unit ball of , and this fact allows us to extend in the present paper the maximum selection principle to the case of functions in the Drury-Arveson space of functions analytic in the unit ball of . This will give rise to an algorithm which is a variation in this higher dimensional case of the greedy algorithm. We also introduce infinite Blaschke products in this setting and study their convergence.

KeywordDrury-arveson Space Adaptative Decomposition Blaschke Products
DOIhttp://doi.org/10.1007/s00041-016-9508-4
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000415364100005
PublisherSPRINGER BIRKHAUSER
The Source to ArticleWOS
Fulltext Access
Citation statistics
Cited Times [WOS]:3   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel
2.Department of mathematics, Chapman University, Orange, CA 92866, USA
3.Dipartimento di Matematica, Politecnico di Milano, Via E. Bonardi, 9, 20133 Milan, Italy
4.Department of Mathematics, University of Macau, Macao, China
Recommended Citation
GB/T 7714
Alpay, Daniel,Colombo, Fabrizio,Qian, Tao,et al. Adaptative Decomposition: The Case of the Drury-Arveson Space[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,2017,23(6):1426-1444.
APA Alpay, Daniel,Colombo, Fabrizio,Qian, Tao,&Sabadini, Irene.(2017).Adaptative Decomposition: The Case of the Drury-Arveson Space.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,23(6),1426-1444.
MLA Alpay, Daniel,et al."Adaptative Decomposition: The Case of the Drury-Arveson Space".JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 23.6(2017):1426-1444.
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