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https://doi.org/10.5802/jolt.9...
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Article . 2015
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On the Integral Representations for Dunkl Kernels of Type A2

On the integral representations for Dunkl kernels of type \(A_{2}\)
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2016Embargo end date: 01 Jan 2015 English Publisher:MathDoc/Centre MersenneJournal:Journal of Lie Theory, volume 26, pages 1,163-1,175 (eissn: 0949-5932, Copyright policy )
Authors: Amri, Béchir;

doi: 10.5802/jolt.927 , 10.48550/arxiv.1502.03309

arXiv: 1502.03309

On the Integral Representations for Dunkl Kernels of Type A2

Abstract

We give an explicit integral formula for the Dunkl kernel associated to root system of type $A_2$ and parameter $k>0$, by exploiting recent result in [1].

Related Organizations
Keywords

Dunkl operators, Reflection and Coxeter groups (group-theoretic aspects), Mathematics - Classical Analysis and ODEs, reflection groups, root systems, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Other functions coming from differential, difference and integral equations, Root systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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