منابع مشابه
An Extremal Problem in Interpolation Theory
If z1, z2, . . . , zn are complex numbers in the open unit disk D and A1, A2, . . . , An are N ×N matrices, let F denote the family of analytic functions, bounded in D, such that for each F ∈ F , F (zk) = Ak, k = 1, 2, . . . , n. We consider ρ = infF∈F supz∈D |F (z)|sp where | · |sp denotes the spectral radius. H. Bercovici has raised the question whether this infimum is attained. We will show ...
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A basic interpolation problem, which includes bitangential matrix versions of a number of classical interpolation problems, is formulated and solved. Particular attention is placed on the development of the problem in a natural way and upon the fundamental role played by a special class of reproducing kernel Hilbert spaces of vector-valued meromorphic functions that originate in the work of L. ...
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The aim of this paper is to study many interpolation problems in the space of polynomials of w-degree n. In order to do this, some new results concerning the polynomial spaces of w-degree n are given. We consider only the case of functions in two variables, but all the results obtained can be easily extended to many variables. We found a set of conditions for which, Πn,w, the space of polynomia...
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The abstract interpolation problem (AIP) in the Schur class was posed V. Katznelson, A. Kheifets and P. Yuditskii in 1987 as an extension of the V.P. Potapov’s approach to interpolation problems. In the present paper an analog of the AIP for Nevanlinna classes is considered. The description of solutions of the AIP is reduced to the description of L-resolvents of some model symmetric operator as...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1962
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(62)50042-5