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Exponential Orthogonal Polynomials
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2017 (English)In: Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two, Springer, 2017, p. 47-56Chapter in book (Refereed)
Abstract [en]

This chapter contains some initial results, obtained by direct or classical methods, on the zeros of the exponential orthogonal polynomials. For example, we estimate the decay of coefficients of orthogonal expansion by using a result of J.L. Walsh and we prove that the zeros always stay in the convex hull of the closure of the domain. In addition, we identify the zeros as also being eigenvalues of the appropriate Hessenberg matrices, and we elaborate this connection further in the case of quadrature domains.

Place, publisher, year, edition, pages
Springer, 2017. p. 47-56
Series
Lecture Notes in Mathematics, ISSN 0075-8434 ; 2199
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-215899DOI: 10.1007/978-3-319-65810-0_4Scopus ID: 2-s2.0-85030688614ISBN: 978-3-319-65809-4 (print)OAI: oai:DiVA.org:kth-215899DiVA, id: diva2:1149792
Note

QC 20171017

Available from: 2017-10-17 Created: 2017-10-17 Last updated: 2017-10-17Bibliographically approved

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