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

D. V. Gorbachev, V. I. Ivanov, S. Yu Tikhonov

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    7 Citations (Scopus)

    Abstract

    © 2015 Elsevier Inc. We prove sharp Pitt's inequality for the Dunkl transform in L2(Rd) with the corresponding weights. As an application, we obtain the logarithmic uncertainty principle for the Dunkl transform.
    Original languageEnglish
    Pages (from-to)109-118
    JournalJournal of Approximation Theory
    Volume202
    DOIs
    Publication statusPublished - 1 Feb 2016

    Keywords

    • Dunkl transform
    • Pitt inequality
    • Sharp constants
    • Uncertainty principle

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