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This document describes the construction of a class of multi-wavelet bases for the sparse representation of integral operators. The bases consist of orthonormal systems of piecewise polynomial functions derived from a finite set of basis functions by dilation and translation. Integral operators whose kernels are smooth except along a finite number of singular bands have sparse representations in these bases, allowing for an order O(n log2 n) algorithm for numerical solution of certain integral equations. Th

Author

Julee Shahni

Language

EN