On Parametrization of Compact Wavelet Matrices
Classical Analysis and ODEs
2008-07-22 v1 Complex Variables
Abstract
It is given an efficient complete parametrization of wavelet matrices of rank , genus , and degree , which are naturally identified with corresponding polynomial paraunitary matrix-functions. The parametrization depends on Wiener-Hopf factorization of unitary matrix-functions with constant determinant given in the unit circle. This method allows us to construct in real time the coefficients of wavelet matrices from the above class.
Cite
@article{arxiv.0807.3310,
title = {On Parametrization of Compact Wavelet Matrices},
author = {Lasha Ephremidze and Gigla Janashia and Edem Lagvilava},
journal= {arXiv preprint arXiv:0807.3310},
year = {2008}
}