Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions
Quantum Algebra
2007-05-23 v1 Differential Geometry
Abstract
We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-differential operators. An explicit expression in terms of hypergeometric functions with noncommutative arguments is given. Some examples are worked out, one of them yielding a quantum length element on .
Cite
@article{arxiv.math/0103096,
title = {Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions},
author = {C. Duval and V. Ovsienko},
journal= {arXiv preprint arXiv:math/0103096},
year = {2007}
}
Comments
9 pages, LaTeX