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math.QA2001
Difference Fourier transforms for nonreduced root systems
Jasper V. Stokman
In the first part of the paper kernels are constructed which meromorphically extend the Macdonald-Koornwinder polynomials in their degrees. In the second part of the paper the kern…
math.CA2001
An expansion formula for the Askey-Wilson function
Jasper V. Stokman
The Askey-Wilson function transform is a q-analogue of the Jacobi function transform with kernel given by an explicit non-polynomial eigenfunction of the Askey-Wilson second order…