Wavelets in mathematical physics: q-oscillators
摘要
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.
引用
@article{arxiv.math/0212096,
title = {Wavelets in mathematical physics: q-oscillators},
author = {Palle E. T. Jorgensen and Anna Paolucci},
journal= {arXiv preprint arXiv:math/0212096},
year = {2007}
}
备注
(03/11/03):18 pages; LaTeX2e, "article" document class with "letterpaper" option An outline was added under the abstract (p.1), paragraphs added to Introduction (p.2), mat'l added to Proofs in Theorems 1 and 6 (pgs.5&17), material added to text for the conclusion (p.17), one add'l reference added [12]. (04/22/03):"number 1" replace with "term C" (p.9), single sentences reformed into a one paragraph (p.13), QED symbol moved up one paragraph and last paragraph labeled as "Concluding Remarks."