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Fast wavelet transforms and numerical algorithms. I. (English) Zbl 0722.65022
Based on the theory of wavelets, methods for the fast numerical application of linear operators to arbitrary vectors are presented. These methods are applicable to all Calderón-Zygmund and pseudo-differential operators.

65T60 Numerical methods for wavelets
65F30 Other matrix algorithms (MSC2010)
65D32 Numerical quadrature and cubature formulas
65T50 Numerical methods for discrete and fast Fourier transforms
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
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