An operator-theoretic approach to theorems of the Pick-Nevanlinna and Loewner types. II

DOI10.1007/BF01694067zbMath0599.47026OpenAlexW4235390877MaRDI QIDQ1080138

James Rovnyak, Marvin Rosenblum

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01694067

zbMATH Keywords

interpolation by holomorphic functionsmatrix-valued and operator-valued functions

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (10)

Solvability condition for a boundary value interpolation problem of Loewner type ⋮ Semigroups of finite convolution operators ⋮ A lifting theorem for bicontractions on Kreǐn spaces ⋮ A commutant lifting approach to tangential interpolation ⋮ Matrix valued interpolation and truncated Hamburger moment problems ⋮ Interpolation problems in several variables ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions ⋮ Meromorphic interpolation in several variables ⋮ Some extensions of Loewner's theory of monotone operator functions. ⋮ Non-Euclidean functional analysis and electronics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operatortheoretische Behandlung und Verallgemeinerung eines Problemkreises in der komplexen Funktionentheorie
• An operator-theoretic approach to theorems of the Pick-Nevanlinna and Loewner types. I
• The Nevanlinna–Pick Problem for Matrix-Valued Functions
• Restrictions of Analytic Functions. I
• Restrictions of Analytic Functions. III
• COMPLEX FOURIER--BESSEL TRANSFORMS

This page was built for publication: An operator-theoretic approach to theorems of the Pick-Nevanlinna and Loewner types. II