On Alpert Multiwavelets
Classical Analysis and ODEs
2013-09-27 v1
Abstract
The multiresolution analysis of Alpert is considered. Explicit formulas for the entries in the matrix coefficients of the refinement equation are given in terms of hypergeometric functions. These entries are shown to solve generalized eigenvalue equations as well as partial difference equations. The matrix coefficients in the wavelet equation are also considered and conditions are given to obtain a unique solution.
Cite
@article{arxiv.1309.6931,
title = {On Alpert Multiwavelets},
author = {Jeffrey S. Geronimo and Francisco Marcellan},
journal= {arXiv preprint arXiv:1309.6931},
year = {2013}
}
Comments
14 pages