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- W11421851 abstract "We consider the iterated Dunkl-Helmholtz equation (Δh − γ)n f = 0 for nonzero γ in a domain of ℝN. Here Δh = Σ j=1 N D j 2 is the Dunkl Laplacian, and D j is the Dunkl operator attached to the Coxeter group G associated with the reduced root system R, $$ mathcal{D}_j f(x) = frac{{partial f}} {{partial x_j }}(x) + sumlimits_{v in R_ + } {k_v frac{{f(x) - f(sigma _v x)}} {{langle x,vrangle }}} v_j , $$where κ v is a multiplicity function on R and σ v is the reflection with respect to the root v." @default.
- W11421851 created "2016-06-24" @default.
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- W11421851 date "2007-02-23" @default.
- W11421851 modified "2023-09-23" @default.
- W11421851 title "Almansi Decomposition for Dunkl-Helmholtz Operators" @default.
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- W11421851 doi "https://doi.org/10.1007/978-3-7643-7778-6_4" @default.
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