Decomposition of spaces of distributions induced by Hermite expansions

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dc.creatorPetrushev, Pencho
dc.creatorXu, Yuan
dc.date2007-05-02
dc.date.accessioned2026-07-07T07:59:09Z
dc.date.available2026-07-07T07:59:09Z
dc.descriptionDecomposition systems with rapidly decaying elements (needlets) based on Hermite functions are introduced and explored. It is proved that the Triebel-Lizorkin and Besov spaces on $\R^d$ induced by Hermite expansions can be characterized in terms of the needlet coefficients. It is also shown that the Hermite Triebel-Lizorkin and Besov spaces are, in general, different from the respective classical spaces.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0705.0318
dc.identifierhttp://arxiv.org/abs/0705.0318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128261
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject42B35, 42C15
dc.titleDecomposition of spaces of distributions induced by Hermite expansions
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