Orthogonal rational functions on the extended real line and analytic on the upper half plane
DOI10.1216/RMJ-2018-48-3-1019zbMath1402.30007MaRDI QIDQ1657794
Publication date: 14 August 2018
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1533230838
orthogonal rational functionsPoisson kernelCarathéodory functionsinterpolation by rational functionsNevanlinna representationRiesz-Herglotz kernel
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Conformal mappings of special domains (30C20) Approximation by rational functions (41A20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Kernel functions in one complex variable and applications (30C40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1\)]
- On characterization theorems for measures associated with orthogonal systems of rational functions on the unit circle
- Regularity of orthogonal rational functions with poles on the unit circle
- On orthogonal systems of rational functions on the unit circle and polynomials orthogonal with respect to varying measures
- On the convergence of the rational interpolation approximant of Carathéodory functions
- Orthogonal rational functions and quadrature on the real half line.
- On the orthogonal rational functions with arbitrary poles and interpolation properties
- An extension of the associated rational functions on the unit circle
- A class of orthogonal polynomials
- Recurrence and asymptotics for orthonormal rational functions on an interval
This page was built for publication: Orthogonal rational functions on the extended real line and analytic on the upper half plane