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math.QA2001
Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations
Y. Markov, A. Varchenko
The trigonometric KZ equations associated to a Lie algebra \g depend on a parameter λin \h where \h is a Cartan subalgebra of \g. A system of dynamical difference equations with re…
math.QA2000
Hankel transform via double Hecke algebra
Ivan Cherednik, Yavor Markov
We use a degeneration of the 1D double affine Hecke algebra and the Dunkl operator to study systematically nonsymmetric Bessel functions and their truncations.
math.QA2000
Differential Equations Compatible with KZ Equations
G. Felder, Y. Markov, V. Tarasov +1
We define a system of "dynamical" differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra…