Positive definiteness, reproducing kernel Hilbert spaces and beyond

DOI10.15352/afa/1399899838zbMath1275.47047OpenAlexW2039361027MaRDI QIDQ1947141

José Claudinei Ferreira, Valdir A. Menegatto

Publication date: 12 April 2013

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v4_n1_a8.pdf

zbMATH Keywords

Fourier transformintegral operatorreproducing kernel Hilbert spacepositive definite kernelMercer's theorem

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Integral operators (45P05) Positive definite functions in one variable harmonic analysis (42A82) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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