One cannot hear the winding number

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dc.creatorBourgain, Jean
dc.creatorKozma, Gady
dc.date2006-12-07
dc.date.accessioned2026-07-07T07:34:44Z
dc.date.available2026-07-07T07:34:44Z
dc.descriptionWe construct an example of two continuous maps f and g of the circle to itself with the same absolute value of the Fourier transform but with different winding numbers, answering a question of Brezis.
dc.description19 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0612192
dc.identifierhttp://arxiv.org/abs/math/0612192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119873
dc.subjectClassical Analysis and ODEs
dc.subject42A16 (primary), 42A61 (secondary)
dc.titleOne cannot hear the winding number
dc.typetext

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