3 citations · 7 across the 5 of their papers we have counts for
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Existence of natural and conformally invariant quantizations of arbitrary symbols
Pierre Mathonet, Fabian Radoux
A quantization over a manifold can be seen as a way to construct a differential operator with prescribed principal symbol. The quantization map is moreover required to be a linear…
A First Approximation for Quantization of Singular Spaces
Norbert Poncin, Fabian Radoux, Robert Wolak
Many mathematical models of physical phenomena that have been proposed in recent years require more general spaces than manifolds. When taking into account the symmetry group of th…
Cartan connections and natural and projectively equivariant quantizations
P. Mathonet, F. Radoux
In this paper, we analyse the question of existence of a natural and projectively equivariant symbol calculus, using the theory of projective Cartan connections. We establish a clo…
Non-uniqueness of the natural and projectively equivariant quantization
Fabian Radoux
In [3], the authors showed the existence and the uniqueness of a sl(m+1,\R)-equivariant quantization in the non-critical situations. The curved generalization of the sl(m+1,\R)-equ…
Explicit formula for the natural and projectively equivariant quantization
F. Radoux
In [8], P. Lecomte conjectured the existence of a natural and projectively equivariant quantization. In [1], M. Bordemann proved this existence using the framework of Thomas-Whiteh…