The Pick interpolation theorem for finitely connected domains

DOI10.1307/mmj/1029002212zbMath0442.30034OpenAlexW2009465613WikidataQ59541867 ScholiaQ59541867MaRDI QIDQ1143539

M. B. Abrahamse

Publication date: 1979

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029002212

zbMATH Keywords

kernel functionPick interpolationinterpolation by bounded analytic functions

Mathematics Subject Classification ID

Related Items (34)

A sufficient condition for Nevanlinna parametrization and an extension of Heins theorem ⋮ The Use of Kernel Functions in Solving the Pick Interpolation Problem ⋮ The character-automorphic Nehari problem: Non-uniqueness criterion and some extremal solutions ⋮ Reflection positivity via Krein space analysis ⋮ On the Krein-Rechtman theorem in the presence of multiple points ⋮ Hankel operator and H_∞ distance problem over a simply-connected domain ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Reproducing kernels for Hardy spaces on multiply connected domains ⋮ The trisecant identity and operator theory ⋮ Ahlfors problem for polynomials ⋮ On the solvability of the Nevanlinna-Pik interpolation problem;О разрешимости интерполяционной проблемы Неванлинны-Пика ⋮ Nevanlinna-Pick interpolation on distinguished varieties in the bidisk ⋮ de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem ⋮ The work of Pavlov on shift operators on a Riemann surface ⋮ Agler-commutant lifting on an annulus ⋮ Generalized interpolation in a multiply connected region ⋮ Indefinite Hardy spaces on finite bordered Riemann surfaces ⋮ Pick-Nevanlinna interpolation theorem and multiplication operators on functional Hilbert spaces ⋮ Upper and lower bounds on norms of functions of matrices ⋮ Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching ⋮ Interpolation in semigroupoid algebras ⋮ Nevanlinna-Pick interpolation and factorization of linear functionals ⋮ Isometric representations of some quotients of \(H^\infty\) of an annulus ⋮ A commutant lifting theorem for triangular matrices with diverse applications ⋮ A characterization of internal functions on multiply connected regions ⋮ Eigenvalues of Toeplitz operators on the annulus and Neil algebra ⋮ Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras ⋮ On the angles between subspaces, the Muckenhoupt condition, and projection from one co-invariant subspace onto another in the theory of character-automorphic Hardy spaces on a multiply connected domain ⋮ Abrahamse's interpolation theorem and Fuchsian groups ⋮ Pick interpolation in several variables ⋮ Test functions in constrained interpolation ⋮ Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions ⋮ Commutant lifting on a two holded domain ⋮ Quadratic inequalities and interpolation

This page was built for publication: The Pick interpolation theorem for finitely connected domains