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math.QA2001
Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions
C. Duval, V. Ovsienko
We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-differential operators. An explicit expression in terms of hypergeometric functions with no…
math.QA2000
Multi-parameter deformations of the module of symbols of differential operators
F. Ammar, B. Agrebaoui, V. Ovsienko
The space of symbols of differential operators on a smooth manifold (i.e., the space of symmetric contravariant tensor fields) is naturally a module over the Lie algebra of vector…