43 citations · 169 across the 17 of their papers we have counts for
12 papers · 1 filter
Wavelets in mathematical physics: q-oscillators
Palle E. T. Jorgensen, Anna Paolucci
We construct representations of a q-oscillator algebra by operators on Fock space on positive matrices. They emerge from a multiresolution scaling construction used in wavelet anal…
Representations of Cuntz algebras, loop groups and wavelets
Palle E. T. Jorgensen
A theorem of Glimm states that representation theory of an NGCR C*-algebra is always intractable, and the Cuntz algebra O_N is a case in point. The equivalence classes of irreducib…
Multiresolution wavelet analysis of Bessel functions of scale
P. E. T. Jorgensen, A. Paolucci
We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions. They emerge as orthogonal systems derived from geometric Hilbert-space considerations,…
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…
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 $…