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arxiv: 1201.1209 · v2 · pith:QQ4SDPTCnew · submitted 2012-01-05 · 🧮 math.CA

Riesz transform for Dunkl Hermite expansion

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keywords dunklexpansionhermiterieszboundedconditionsestablishintegral
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In the present paper, we establish that Riesz transforms for Dunkl Hermite expansion as introduced in [4] are singular integral operators with H\"ormander's type conditions and we show that are bounded on $L^p(\mathbb{R}^d; d\mu_k) 1 < p < 1.

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