On Parametrization of Compact Wavelet Matrices

Details On Parametrization of Compact Wavelet Matrices On Parametrization of Compact Wavelet Matrices

2008-07-21

arxiv.org/abs/0807.3310v1

Mathematics

Classical Analysis and ODEs

Scientific paper

It is given an efficient complete parametrization of wavelet matrices of rank $m$, genus $g+1$, and degree $g$, 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.

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