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Lookup NU author(s): Professor Mihai Putinar
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© Springer International Publishing AG 2017. 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.
Author(s): Gustafsson B, Putinar M
Publication type: Book Chapter
Publication status: Published
Book Title: Hyponormal Quantization of Planar Domains
Year: 2017
Volume: 2199
Pages: 47-56
Online publication date: 26/09/2017
Acceptance date: 02/04/2016
Series Title: Lecture Notes in Mathematics
Publisher: Springer Verlag
URL: https://doi.org/10.1007/978-3-319-65810-0_4
DOI: 10.1007/978-3-319-65810-0_4
Library holdings: Search Newcastle University Library for this item
ISBN: 9783319658100