Hilbert spaces of entire functions and polynomials orthogonal on the unit circle

DOI10.4310/MAA.1994.v1.n1.a3zbMath0843.30008OpenAlexW51267174MaRDI QIDQ1902345

Xian-Jin Li

Publication date: 22 August 1996

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1994.v1.n1.a3

zbMATH Keywords

zerosorthonormal polynomialspositivity conditionMock-Sonine spaces

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function ⋮ Subspaces of de Branges spaces with prescribed growth ⋮ On Weil's explicit formula