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Complete interpolation vs. Riesz bases of reproducing kernels

Cowell, Simon R. and Poulin, Philippe (2014) Complete interpolation vs. Riesz bases of reproducing kernels. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 30 (1). pp. 103-109. ISSN 0866-0174

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Abstract

In the study of Hilbert spaces of analytic functions, it is noticed that complete interpolating sequences and Riesz bases of reproducing kernels are dual notions. In this work we make this duality explicit by identifying sequences of complex numbers with linear operators.

Item Type: Article
Uncontrolled Keywords: spaces of entire functions, interpolation, Riesz basis
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 06 Feb 2024 08:46
Last Modified: 06 Feb 2024 08:46
URI: http://real.mtak.hu/id/eprint/187618

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