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Wavelets in mathematical physics: q-oscillators
Journal article

Wavelets in mathematical physics: q-oscillators

Palle E.T Jorgensen and Anna Paolucci
Journal of physics. A, Mathematical and general, Vol.36(23), pp.6483-6494
2003
DOI: 10.1088/0305-4470/36/23/313
url
https://arxiv.org/pdf/math/0212096View
Open Access

Abstract

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 analysis. The representations of the Cuntz algebra arising from this multiresolution analysis are contained as a special case in the Fock space construction.

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