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math.FA2000
Wavelet filters and infinite-dimensional unitary groups
Ola Bratteli, Palle E. T. Jorgensen
In this paper, we study wavelet filters and their dependence on two numbers, the scale N and the genus g. We show that the wavelet filters, in the quadrature mirror case, have a ha…
math.FA1999
Convergence of the cascade algorithm at irregular scaling functions
Ola Bratteli, Palle E. T. Jorgensen
The spectral properties of the Ruelle transfer operator which arises from a given polynomial wavelet filter are related to the convergence question for the cascade algorithm for ap…