scientific article; zbMATH DE number 1263561

zbMath0931.46024MaRDI QIDQ4234487

Daniel Alpay, Vladimir Bolotnikov

Publication date: 16 March 1999

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zbMATH Keywords

interpolation problemsreproducing kernel Hilbert modulesinterpolation in Hardy-Sobolev, Dirichlet and Bergman spacesNevanlinna-Pick and Carathéodory-Fejér interpolation problems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operator methods in interpolation, moment and extension problems (47A57) Positive definite functions in one variable harmonic analysis (42A82) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (12)

Interpolation for multipliers on reproducing kernel Hilbert spaces ⋮ de Branges–Rovnyak Spaces: Basics and Theory ⋮ On tangential \(H_ 2\) interpolation with second order norm constraints ⋮ Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting ⋮ Fractional functions and their representations ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ Harmonic analysis of network systems via kernels and their boundary realizations ⋮ On the preceding paper by R.\,B.\thinspace Leech ⋮ Editorial Introduction ⋮ The Fock space as a de Branges-Rovnyak space ⋮ Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball ⋮ Interpolation in Sub-Bergman Spaces

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