Japanese Journal of Mathematics

, Volume 3, Issue 2, pp 215–246

Reflection groups in analysis and applications


DOI: 10.1007/s11537-008-0819-3

Cite this article as:
Dunkl, C.F. Jpn. J. Math. (2008) 3: 215. doi:10.1007/s11537-008-0819-3


This is an overview of the use of reflection groups in analysis, applications in algebra, mathematical physics, and probability.

Keywords and phrases:

Dunkl operators Dunkl transform non-symmetric Jack polynomials Calogero–Sutherland models 

Mathematics Subject Classification (2000):

33 42 (primary) 05 82 (secondary) 

Copyright information

© The Mathematical Society of Japan and Springer Japan 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA

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