Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian

Let Ω be a G-invariant convex domain in ℂN including 0, where G is a complex Coxeter group associated with reduced root system R⊂ℝN. We consider holomorphic functions f defined in Ω which are Dunkl polyharmonic, that is, (Δh)nf=0...

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Bibliographic Details
Main Authors: Guangbin Ren, Helmuth R. Malonek
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/947518