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Remarks on Inner Functions and Optimal Approximants
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Number of Authors: 52018 (English)In: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 61, no 4, p. 704-716Article in journal (Refereed) Published
Abstract [en]

We discuss the concept of inner function in reproducing kernel Hilbert spaces with an orthogonal basis of monomials and examine connections between inner functions and optimal polynomial approximants to 1/f, where f is a function in the space. We revisit some classical examples from this perspective, and show how a construction of Shapiro and Shields can be modified to produce inner functions.

Place, publisher, year, edition, pages
2018. Vol. 61, no 4, p. 704-716
Keywords [en]
inner function, reproducing kernel hilbert space, operator-theoretic function theory
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-163600DOI: 10.4153/CMB-2017-058-4ISI: 000451500300003OAI: oai:DiVA.org:su-163600DiVA, id: diva2:1277863
Available from: 2019-01-11 Created: 2019-01-11 Last updated: 2019-01-11Bibliographically approved

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Sola, Alan A.
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