Wavelets in mathematical physics: q-oscillators
Palle E. T. Jorgensen, Anna Paolucci
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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