12 citations · 34 across the 6 of their papers we have counts for
6 papers
Cuntz-Krieger algebras and wavelets on fractals
Matilde Marcolli, Anna Maria Paolucci
We consider representations of Cuntz--Krieger algebras on the Hilbert space of square integrable functions on the limit set, identified with a Cantor set in the unit interval. We u…
Multiresolution wavelet analysis of integer scale Bessel functions
Sergio Albeverio, Palle E. T. Jorgensen, Anna M. Paolucci
We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions. They emerge as orthogonal systems derived from geometric Hilbert-space considerations,…
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…
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,…
Quantum Group Duality and the Cuntz Algebra
A. L. Carey, A. Paolucci, R. B. Zhang
The Cuntz algebra carries in a natural way the structure of a module algebra over the quantized universal enveloping algebra , and the structure of a co-module algebra over…
On boson algebras as Hopf algebras
I Tsohantjis, A Paolucci, P D Jarvis
Certain types of generalized undeformed and deformed boson algebras which admit a Hopf algebra structure are introduced, together with their Fock-type representations and their cor…