Continuous dependence of Szegő kernel on a weight of integration

DOI10.1007/S11785-023-01397-XMaRDI QIDQ6096054

Jacek Józef Sadowski, Zbigniew Pasternak-Winiarski, Steven G. Krantz, Tomasz Łukasz Żynda

Publication date: 11 September 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

continuous dependenceSzegő kernelweight of integration

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• On weights which admit reproducing kernel of Szegő type
• On weighted kernels
• On the dependence of the orthogonal projector on deformations of the scalar product
• On the Analyticity of the Bergman Transform
• Applications of reproducing kernel Hilbert spaces–bandlimited signal models
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