2006
Diffusion wavelets
Coifman R, Maggioni M. Diffusion wavelets. Applied And Computational Harmonic Analysis 2006, 21: 53-94. DOI: 10.1016/j.acha.2006.04.004.Peer-Reviewed Original ResearchPseudo-differential operatorsFast multipole methodClass of operatorsNon-homogeneous mediaAssociated Green's functionSpectral theorySymmetric operatorsMultiresolution analysisText documentsDownsampling operatorNumerical rankCoarse grainingCalderón–ZygmundStable algorithmMultiscale computationsData cloudOrthonormal scaling functionsMultipole methodDirectory structureOperator TScaling functionsGreen's functionDiffusion waveletsManifoldMultiscale analysis
1991
Fast wavelet transforms and numerical algorithms I
Beylkin G, Coifman R, Rokhlin V. Fast wavelet transforms and numerical algorithms I. Communications On Pure And Applied Mathematics 1991, 44: 141-183. DOI: 10.1002/cpa.3160440202.Peer-Reviewed Original ResearchPseudo-differential operatorsClass of algorithmsLinear operatorsTheory of waveletsN matrixNumerical experimentsArbitrary vectorOrder ONumerical applicationsNarrow classAlgorithm IOperatorsDetailed analytical informationIntractable problemClassAlgorithmMatrixAnalytical informationVectorTheorySchemeO operationsProblemWavelets