On Hardy kernels as reproducing kernels

DOI10.4153/s0008439522000406zbMath1526.46016OpenAlexW4283031264MaRDI QIDQ6041318

Jesús Oliva-Maza

Publication date: 26 May 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439522000406

zbMATH Keywords

Laplace transformreproducing kernel Hilbert spacesHardy kernels

Mathematics Subject Classification ID

Integral operators (47G10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

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• On the spectra of a Hardy kernel
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Holomorphy and convexity in Lie theory
• Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces
• Hausdorff operators on Euclidean spaces
• RKH spaces of Brownian type defined by Cesàro-Hardy operators
• Hilbertian Hardy-Sobolev spaces on a half-plane
• Hausdorff operators on holomorphic Hardy spaces and applications
• 18. Spectra of generalized Poisson integral operators on L^p(ℝ⁺)
• Theory of Reproducing Kernels

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