Article ID Journal Published Year Pages File Type
4606047 Differential Geometry and its Applications 2013 9 Pages PDF
Abstract
For a finite reflection subgroup G⩽O(n+1,1,R) of the conformal group of the sphere with standard conformal structure (Sn,[g0]), we geometrically derive differential-difference Dunkl version of the series of conformally invariant differential operators with symbols given by powers of Laplace operator. The construction can be regarded as a deformation of the Fefferman-Graham ambient metric construction of GJMS operators.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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