On functional reproducing kernels

DOI10.1515/math-2023-0102OpenAlexW4385586869MaRDI QIDQ6083262

Wei-Qi Zhou

Publication date: 31 October 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2023-0102

zbMATH Keywords

Sobolev spacesreproducing kernelspositive definiteweighted \(L^2\) spacesRiesz representations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convolution, factorization for one variable harmonic analysis (42A85) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Kernel operators (47B34)

Cites Work

• Reproducing-Kernel Hilbert Spaces of Distributions and Generalized Stochastic Processes
• Radial Basis Functions
• Theory of Reproducing Kernels
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