Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions

Details Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions

2001-03-15

arxiv.org/abs/math/0103096v1

Mathematics

Quantum Algebra

9 pages, LaTeX

Scientific paper

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 $S^3$.

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