On an analog of the Blaschke product for a Hilbert space with the Nevanlinna-Pick kernel

DOI10.1007/s10958-015-2522-2zbMath1348.46029OpenAlexW2116935442MaRDI QIDQ906778

Ilya V. Videnskii

Publication date: 29 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2522-2

zbMATH Keywords

infinite product of multipliersNevanlinna-Pick kernel

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

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An analog of the hyperbolic metric generated by a Hilbert space with the Schwarz-Pick kernel

Cites Work

• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Nevanlinna-Pick Interpolation on Sobolev Space
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