Integral operators generated by multi-scale kernels

DOI10.1016/J.JCO.2010.01.001zbMath1190.45011OpenAlexW2058297301MaRDI QIDQ964922

Valdir A. Menegatto, Thaís Jordão

Publication date: 21 April 2010

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2010.01.001

zbMATH Keywords

positive definite kernelsspectral analysisintegral operatorscompact operatorsreproducing kernel Hilbert spacemulti-resolution methodswavelet theoryMercer's theorymulti-scale kernels

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral operators (45P05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Eigenvalue problems for integral equations (45C05)

Related Items (1)

Interactions Between Kernels, Frames, and Persistent Homology

Cites Work

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• Mercer theorem for RKHS on noncompact sets
• Eigenvalues of integral operators defined by smooth positive definite kernels
• On the nuclearity of integral operators
• Integral operators on the sphere generated by positive definite smooth kernels
• Construction of refinable function vector via GTST
• Tight frame expansions of multiscale reproducing kernels in Sobolev spaces
• Multiscale kernels
• Theory of Reproducing Kernels

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