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math.FA2002★ 9 cited
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…
math.FA2000
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,…