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Exponential Orthogonal Polynomials

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.

Publication metadata

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


DOI: 10.1007/978-3-319-65810-0_4

Library holdings: Search Newcastle University Library for this item

ISBN: 9783319658100