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Wavelets in mathematical physics: q-oscillators

Palle E. T. Jorgensen·Anna Paolucci
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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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Palle E. T. Jorgensen, Anna Paolucci. 2003-04-22. Wavelets in mathematical physics: q-oscillators. https://doi.org/10.1088/0305-4470%2F36%2F23%2F313

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