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math.RT1998
Lectures on Dunkl operators
Eric M. Opdam
These are the lecture notes of a series of lectures on Dunkl operators. We discuss the underlying algebraic structure of the degenerate double affine Hecke algebra, intertwiners an…
math.RT1998
Cuspidal hypergeometric functions
Eric M. Opdam
We prove the Plancherel formula for hypergeometric functions associated to a root system in the situation when the root multiplicities are negative (but close to 0). As a result we…
math.RT1998
Complex Reflection Groups and Fake Degrees
Eric M. Opdam
In this paper we study the Hecke algebra associated with a complex reflection group W. We discuss some properties of the Galois group of the splitting field of this algebra, and st…