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Operator-valued Pick's conditions and holomorphicity

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Publication:1146783
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DOI10.2140/PJM.1982.98.295zbMath0448.30013OpenAlexW1979841115MaRDI QIDQ1146783

Jacob Burbea

Publication date: 1982

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1982.98.295


zbMATH Keywords

reproducing kerneloperator-valued functionsPick's conditions


Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic functions of several complex variables (32A10) Kernel functions in one complex variable and applications (30C40)


Related Items (2)

Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions ⋮ Lower order positivity and holomorphic operators







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