Details

Autor(en) / Beteiligte

• Gustafsson, Bjö
• Putinar, Mihai

Titel

Exponential Orthogonal Polynomials

Ist Teil von

• Hyponormal Quantization of Planar Domains, 2017, Vol.2199, p.47-56

Ort / Verlag

Switzerland: Springer International Publishing AG

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.