Rearrangements of Trigonometric Series and Trigonometric Polynomials

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dc.creatorKonyagin, S. V.
dc.date2003-03-05
dc.date.accessioned2026-07-07T04:55:48Z
dc.date.available2026-07-07T04:55:48Z
dc.descriptionThe paper is related to the following question of P.~L.~Ul'yanov: is it true that for any $2π$-periodic continuous function $f$ there is a uniformly convergent rearrangement of its trigonometric Fourier series? In particular, we give an affirmative answer if the absolute values of Fourier coefficients of $f$ decrease. Also, we study a problem how to choose $m$ terms of a trigonometric polynomial of degree $n$ to make the uniform norm of their sum as small as possible.
dc.identifierhttps://arxiv.org/abs/math/0303064
dc.identifierhttp://arxiv.org/abs/math/0303064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66706
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subject42A20, 42A05, 42A61
dc.titleRearrangements of Trigonometric Series and Trigonometric Polynomials
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