On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We study several fundamental harmonic analysis operators in the multi-dimensional context of the Dunkl harmonic oscillator and the underlying group of reflections isomorphic to \(\mathbb{Z}_2^d\). Noteworthy, we admit negative values of the multiplicity functions. Our investigations include maximal operators, \(g\)-functions, Lusin area integrals,...
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On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
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TN_cdi_proquest_journals_2080897510
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2080897510
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E-ISSN
2331-8422
DOI
10.48550/arxiv.1602.05369
