No Entire Inner Functions

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No Entire Inner Functions

Author(s): Cobos, A.; Seco Forsnacke, Daniel
Publisher: Springer
Issued date: 2020-03
Citation: Cobos, A. & Seco, D. (2020). No Entire Inner Functions. Analysis Mathematica, 46(1), pp. 39–45.
ISSN: 0133-3852
DOI: https://doi.org/10.1007/s10476-020-0015-0
xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)
Project: Gobierno de España. MTM2016-77710-P
Gobierno de España. SEV-2015-0554
Keywords: Dirichlet space , Inner function , Reproducing kernel Hilbert space
URI: http://hdl.handle.net/10016/32621
Rights: © 2020 Akadémiai Kiadó, Budapest.

Abstract:

We study generalized inner functions on a large family of ReproducingKernel Hilbert Spaces. We show that the only inner functions whichare entire are the normalized monomials. [+]

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