Concepedia

Positivity of the Jacobi–Cherednik intertwining operator and its dual

Léonard Gallardo, Khalifa Trimèche

Advances in Pure and Applied Mathematics · 2010 · 37 citations · 7 references

DOI

Concepts

Abstract

This paper is devoted to the study of the differential-difference Jacobi–Cherednik operator defined for f ∈ C1 (𝕣) by

References

7

Integral Kernels with Reflection Group Invariance

Charles F. Dunkl · Canadian Journal of Mathematics · 1991 · 490 citations · Full text

, , +15

Harmonic analysis for certain representations of graded Hecke algebras

Eric Opdam · Acta Mathematica · 1995 · 473 citations · Full text

, , +12

Root systems and hypergeometric functions. I

Gerrit Heckman, Eric Opdam · UvA-DARE (University of Amsterdam) · 1988 · 368 citations

, , +7

A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras

Ivan Cherednik · Inventiones mathematicae · 1991 · 250 citations

, , +13

Contributions to the Hypergeometric Function Theory of Heckman and Opdam: Sharp Estimates, Schwartz Space, Heat Kernel

Bruno Schapira · Geometric and Functional Analysis · 2008 · 120 citations · Full text

, , +4