Bochner-Riesz summability for analytic functions on the m-complex unit sphere and for cylindrically symmetric functions on R^{n-1} times R

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dc.creatorSikora, Adam
dc.creatorTao, Terence
dc.date2002-07-25
dc.date.accessioned2026-07-07T04:49:50Z
dc.date.available2026-07-07T04:49:50Z
dc.descriptionWe prove that spectral projections of Laplace-Beltrami operator on the m-complex unit sphere E_{Delta_{S^{2m-1}}}([0,R)) are uniformly bounded as an operator from H^p(S^{2m-1}) to L^p(S^{2m-1}) for all p --> (1,infinity). We also show that the Bochner-Riesz conjecture is true when restricted to cylindrically symmetric functions on R^{n-1} times R.
dc.description11 pages, no figures, submitted, Comm. Analysis and Geometry
dc.identifierhttps://arxiv.org/abs/math/0207225
dc.identifierhttp://arxiv.org/abs/math/0207225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64576
dc.subjectClassical Analysis and ODEs
dc.subjectSpectral Theory
dc.subject42B15, 32A35
dc.titleBochner-Riesz summability for analytic functions on the m-complex unit sphere and for cylindrically symmetric functions on R^{n-1} times R
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