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On Asymptotically OrthonormalSequences

Published online by Cambridge University Press:  20 November 2018

Emmanuel Fricain  and
Rishika Rupam
Emmanuel Fricain
Affiliation:
Laboratoire Paul Painlevé, Université Lille 1, 59 655 Villeneuve d'Ascq Cédex e-mail: [email protected], [email protected]
Rishika Rupam
Affiliation:
Laboratoire Paul Painlevé, Université Lille 1, 59 655 Villeneuve d'Ascq Cédex e-mail: [email protected], [email protected]
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Abstract

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An asymptotically orthonormal sequence is a sequence that is nearly orthonormal in the sense that it satisfies the Parseval equality up to two constants close to one. In this paper, we explore such sequences formed by normalized reproducing kernels for model spaces and de Branges–Rovnyak spaces.

Keywords

30J0530H1046E22function spacede Branges-Rovnyak and model spacereproducing kernelasymptotically orthonormal sequence
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 69 , Issue 6 , 01 December 2017 , pp. 1312 - 1337
Copyright
Copyright © Canadian Mathematical Society 2017

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