On the gaps between zeros of trigonometric polynomials

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dc.creatorKozma, Gady
dc.creatorOravecz, Ferenc
dc.date2006-01-02
dc.date.accessioned2026-07-07T06:58:27Z
dc.date.available2026-07-07T06:58:27Z
dc.descriptionWe show that for every finite symetric set S of integer vectors, every real trigonometric polynomial on the d dimensional torus with spectrum in S has a zero in every closed ball of diameter D, where D is the sum over S of 1 over 4 times the L2 norm of the vector. We investigate tightness in some special cases.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0601021
dc.identifierhttp://arxiv.org/abs/math/0601021
dc.identifierReal Anal. Exchange 28:2 (2002/03), 447--454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107361
dc.subjectClassical Analysis and ODEs
dc.subject42A05, 42B99, 30C15, 26C10
dc.titleOn the gaps between zeros of trigonometric polynomials
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