Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions
Abstract
Description
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 $S^3$.
9 pages, LaTeX
9 pages, LaTeX