A bstract Conformal blocks are the central ingredient of the conformal bootstrap programme.
We elaborate on our recent observation that uncovered a relation with wave functions of an …

The aims of these lecture notes are twofold. On the one hand, they are meant as an
introduction to rational and trigonometric Dunkl theory, starting with the historical examples …

A series expansion for Heckman–Opdam hypergeometric functions φ λ is obtained for all λ∈
a C⁎. As a consequence, estimates for φ λ away from the walls of a Weyl chamber are …

Limit transition between hypergeometric functions of type BC and type A Page 1 COMPOSITIO
MATHEMATICA Limit transition between hypergeometric functions of type BC and type A Margit …

We uncover a precise relation between superblocks for correlators of superconformal field
theories (SCFTs) in various dimensions and symmetric functions related to the BC root …

In the five first sections of this paper we define and study the hypergeometric transmutation
operators $ V^ W_k $ and $^ tV^ W_k $ called also the trigonometric Dunkl intertwining …

We present an explicit difference equation for the Heckman–Opdam hypergeometric
function associated with root systems. Via a confluent hypergeometric limit, an analogous …

The Heckman-Opdam hypergeometric functions of type BC extend classical Jacobi functions
in one variable and include the spherical functions of non-compact Grassmann manifolds …

We study convolution algebras associated with Heckman–Opdam polynomials. For root
systems of type BC we derive three continuous classes of positive convolution algebras …

In this paper, we introduce and we study the hypergeometric Gabor transform attached to the
Cherednik operators in the W-invariant case. We investigate for this transform the main …