Fourier bases and a distance problem of Erd\H os

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dc.creatorIosevich, Alex
dc.creatorKatz, Nets
dc.creatorPedersen, Steen
dc.date2001-04-08
dc.date.accessioned2026-07-07T04:41:12Z
dc.date.available2026-07-07T04:41:12Z
dc.descriptionWe prove that no ball admits a non-harmonic orthogonal basis of exponentials. We use a combinatorial result, originally studied by Erd\H os, which says that the number of distances determined by $n$ points in ${\Bbb R}^d$ is at least $C_d n^{\frac{1}{d}+ε_d}$, $ε_d>0$.
dc.identifierhttps://arxiv.org/abs/math/0104092
dc.identifierhttp://arxiv.org/abs/math/0104092
dc.identifierMath Research Letters Volume 6 (1999) No. 2 pp. 105-128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61263
dc.subjectClassical Analysis and ODEs
dc.titleFourier bases and a distance problem of Erd\H os
dc.typetext

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