Operatortheoretische Behandlung und Verallgemeinerung eines Problemkreises in der komplexen Funktionentheorie

DOI10.1007/BF02559538zbMath0083.34105OpenAlexW2070445840MaRDI QIDQ770238

Béla Sz.-Nagy, Adam Korányi

Publication date: 1958

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559538

zbMATH Keywords

functional analysis

Related Items (13)

An operator-theoretic approach to theorems of the Pick-Nevanlinna and Loewner types. II ⋮ The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications ⋮ Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions ⋮ Multiple point interpolation in Nevanlinna classes ⋮ An extension problem for H-unitary matrices with applications to Hermitian Toeplitz matrices ⋮ A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks ⋮ Necessary and sufficient conditions for interpolation with functions having monotone r-th derivatives ⋮ On the Loewner problem in the class $\mathbf {N}_{\kappa }$ ⋮ On locally definitizable matrix functions ⋮ Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\) ⋮ On bounded holomorphic interpolation in several variables ⋮ Quadratic inequalities and interpolation ⋮ Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)

Cites Work

• Über monotone Matrixfunktionen
• Significance of Loewner's theorem in the quantum theory of collisions
• Relations d'un problème de Nevanlinna et Pick avec la théorie des opérateurs de l'espace hilbertien
• Monotone and Convex Operator Functions
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