arXiv subjects

A. Paolucci

Publications and source records attributed to A. Paolucci.

2 recordsLinked to original sources

arXiv2000

Multiresolution wavelet analysis of Bessel functions of scale $ν+1$

We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions. They emerge as orthogonal systems derived from geometric Hilbert-space considerations, the same way the wavelet functions from a multiresolution scaling wavelet construction arise from a scale of Hilbert spaces. We study the theory of representations of the C*-algebra O_{ν+1} arising from this multiresolution analysis.

math.FA↗

arXiv1997

Quantum Group Duality and the Cuntz Algebra

The Cuntz algebra carries in a natural way the structure of a module algebra over the quantized universal enveloping algebra $U_q(g)$, and the structure of a co-module algebra over the quantum group $G_q$ associated with $U_q(g)$. These two algebraic structures are dual to each other via the duality between $G_q$ and $U_q(g)$.

q-alg↗