Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl\n transform in L²

2015/05/12 by Д. В. Горбачев, Gorbachev, Dmitry, V. I. Ivanov +3
Mathematics · #33C45 #33C52 (Secondary) #42B10 (Primary) #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1505.02958

openalex publication_date 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove sharp Pitt's inequality for the Dunkl transform in\nL²(\ℝ^d) with the corresponding weights. As an application, we\nobtain the logarithmic uncertainty principle for the Dunkl transform.\n

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