Asymptotic analysis for the Dunkl kernel

Details Asymptotic analysis for the Dunkl kernel Asymptotic analysis for the Dunkl kernel

2002-02-09

arxiv.org/abs/math/0202083v2

J. Approx. Theory 119 (2002), 110--126.

Mathematics

Classical Analysis and ODEs

LaTeX2e, 16 pages, 1 figure. Second and final version, with minor corrections. Mathematically identical to first version. Acce

Scientific paper

This paper studies the asymptotic behavior of the integral kernel of the Dunkl transform, the so-called Dunkl kernel, when one of its arguments is fixed and the other tends to infinity either within a Weyl chamber of the associated reflection group, or within a suitable complex domain. The obtained results are based on the asymptotic analysis of an associated system of ordinary differential equations. They generalize the well-known asymptotics of the confluent hypergeometric function $\phantom{}_1F_1$ to the higher-dimensional setting and include a complete short-time asymptotics for the Dunkl-type heat kernel. As an application, it is shown that the representing measures of Dunkl's intertwining operator are generically continuous.

Affiliated with

Also associated with

No associations

Rating

Asymptotic analysis for the Dunkl kernel 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 Asymptotic analysis for the Dunkl kernel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic analysis for the Dunkl kernel will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288575