Difference Fourier transforms for nonreduced root systems

Details Difference Fourier transforms for nonreduced root systems Difference Fourier transforms for nonreduced root systems

2001-11-20

arxiv.org/abs/math/0111221v1

Mathematics

Quantum Algebra

68 pages, no figures

Scientific paper

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 kernels associated with rank one root systems are used to define nonsymmetric variants of the spherical Fourier transform on the quantum SU(1,1) group. Related Plancherel and inversion formulas are derived using double affine Hecke algebra techniques.

Affiliated with

Also associated with

No associations

Rating

Difference Fourier transforms for nonreduced root systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Difference Fourier transforms for nonreduced root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Difference Fourier transforms for nonreduced root systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-275405