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Littlewood-Paley theory for orthogonal expansions associated with root systems

Langen, Lukas et al.
arXiv (OAI Expanded) · Papers
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classical-analysis-and-odesrepresentation-theory
We introduce the non-symmetric heat and Poisson semigroups associated with the Heckman-Opdam Laplacian in the compact setting. Based on the Poisson semigroup, we study several Littlewood-Paley $g$-functions in the spirit of Stein's work for compact Lie groups and prove their $L^{p}$-boundedness for
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