71 citations · 326 across the 45 of their papers we have counts for
7 papers · 2 filters
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…
A geometric approach to the cascade approximation operator for wavelets
Palle E. T. Jorgensen
This paper is devoted to an approximation problem for operators in Hilbert space, that appears when one tries to study geometrically the cascade algorithm in wavelet theory. Let $…
Compactly supported wavelets and representations of the Cuntz relations
Ola Bratteli, David E. Evans, Palle E. T. Jorgensen
We study the harmonic analysis of the quadrature mirror filters coming from multiresolution wavelet analysis of compactly supported wavelets. It is known that those of these wavele…
Orthogonal harmonic analysis and scaling of fractal measures
Palle E. T. Jorgensen, Steen Pedersen
We show that certain iteration systems lead to fractal measures admitting exact orthogonal harmonic analysis.
Spectral pairs in Cartesian coordinates
Palle E. T. Jorgensen, Steen Pedersen
Let have finite positive Lebesgue measure, and let be the corresponding Hilbert space of -functions on . We shall con…
Unitary Representations and Osterwalder-Schrader Duality
Palle E. T. Jorgensen, Gestur Ólafsson
The notions of reflection, symmetry, and positivity from quantum field theory are shown to induce a duality operation for a general class of unitary representations of Lie groups.…