Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II

DOI10.1007/BF01200325zbMath0780.47016MaRDI QIDQ5905542

Aalt Dijksma, Hendrik S. V. de Snoo, Daniel Alpay, Piet Bruinsma

Publication date: 27 September 1992

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

zbMATH Keywords

interpolation problemsreproducing kernel spaces of holomorphic functions

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (11)

The two-sided residue interpolation in the Stieltjes class of matrix functions ⋮ Unbounded Hermitian operators and relative reproducing kernel Hilbert space ⋮ On the reproducing kernel of a Pontryagin space of vector valued polynomials ⋮ On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm ⋮ Boundary interpolation in the ball ⋮ Carathéodory Fejér interpolation in the ball with mixed derivatives ⋮ Interpolation theory in sectorial Stieltjes classes and explicit system solutions ⋮ Rigidity theorems, boundary interpolation and reproducing kernels for generalized Schur functions ⋮ Nonstationary analogs of the Herglotz representation theorem: The discrete case ⋮ Boundary interpolation for slice hyperholomorphic Schur functions ⋮ Carathéodory--Fejér interpolation in the ball.

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