Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions

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 $S^3$.

9 pages, LaTeX

References in corpus (1)

• Conformally equivariant quantization

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