Approximate wavelets and the approximation of pseudodifferential operators

DOI10.1006/acha.1998.0253zbMath0932.65149OpenAlexW2017771068MaRDI QIDQ1294110

Vladimir Gilelevich Maz'ya, Gunther Schmidt

Publication date: 6 October 1999

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2ea2fabcee1756fef059c549708cdbbe41e1d10e

zbMATH Keywords

pseudodifferential operatorsalmost orthogonal wavelet spacesapproximate multiresolution analysisapproximate waveletssparse and semi-analytic representations of integral operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Integral operators (45P05)

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Cites Work

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• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Multiwavelets for Second-Kind Integral Equations
• On approximate approximations using Gaussian kernels
• Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
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