Planar Harmonic and Monogenic Polynomials of Type A

Harmonic polynomials of type A are polynomials annihilated by the Dunkl Laplacian associated to the symmetric group acting as a reflection group on R N . The Dunkl operators are denoted by T j for 1 ≤ j ≤ N , and the Laplacian Δ κ = ∑ j = 1 N T j 2 . This paper...

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Bibliographic Details
Main Author: Charles F. Dunkl
Format: Article
Language:English
Published: MDPI AG 2016-10-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/8/10/108