Cyclicity in Reproducing Kernel Hilbert Spaces of analytic functions

Fricain, Emmanuel; Mashreghi, Javad; Seco Forsnacke, Daniel

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Cyclicity in Reproducing Kernel Hilbert Spaces of analytic functions

Author(s): Fricain, Emmanuel; Mashreghi, Javad; Seco Forsnacke, Daniel

Publisher: Springer Nature

Issued date: 2014-12

Citation: Fricain, E., Mashreghi, J. & Seco, D. (2014). Cyclicity in Reproducing Kernel Hilbert Spaces of Analytic Functions. Computational Methods and Function Theory, 14(4), pp. 665–680.

ISSN: 1617-9447

DOI: https://doi.org/10.1007/s40315-014-0073-z

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: For this work, we were supported by grants from Labex CEMPI (ANR-11-LABX-0007-01), NSERC (100756), ERC Grant 2011-ADG-20110209 from EU programme FP2007-2013, MEC/MICINN Project MTM2011-24606, and Generalitat de Catalunya 2009SGR420.

Project: Gobierno de España. MTM2011-24606

Keywords: Cyclicity , Optimal approximation

URI: http://hdl.handle.net/10016/32644

Abstract:

We introduce a large family of reproducing kernel Hilbert spaces H⊂Hol(D), which include the classical Dirichlet-type spaces Dα, by requiring normalized monomials to form a Riesz basis for H. Then, after precisely evaluating the nth optimal norm and the n-th a [+]

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