Wavelets in mathematical physics: q-oscillators

Details Wavelets in mathematical physics: q-oscillators Wavelets in mathematical physics: q-oscillators

2002-12-06

arxiv.org/abs/math/0212096v3

J. Phys. A: Math. Gen. 36 (2003), 6483-6494

Mathematics

Functional Analysis

(03/11/03):18 pages; LaTeX2e, "article" document class with "letterpaper" option An outline was added under the abstract (p.1)

Scientific paper

10.1088/0305-4470/36/23/313

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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