Spaces of holomorphic almost periodic functions on a strip

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dc.creatorFavorov, S.
dc.creatorUdodova, O.
dc.date2007-01-28
dc.date.accessioned2026-07-07T07:43:36Z
dc.date.available2026-07-07T07:43:36Z
dc.descriptionThe notions of almost periodicity in the sense of Weyl and Besicovitch of the order p are extended to holomorphic functions on a strip. We prove that the spaces of holomorphic almost periodic functions in the sense of Weyl for various orders p are the same. These spaces are considerably wider than the space of holomorphic uniformly almost periodic functions and considerably narrower than the spaces of holomorphic almost periodic functions in the sense of Besicovitch. Besides we construct examples showing that the spaces of holomorphic almost periodic functions in the sense of Besicovitch for various orders p are all different.
dc.identifierhttps://arxiv.org/abs/math/0701812
dc.identifierhttp://arxiv.org/abs/math/0701812
dc.identifierMat.fiz.,anal.geom., v.11 (2004), No.1, 87-106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122890
dc.subjectComplex Variables
dc.subject42A75(Primary), 30B50(Secondary)
dc.titleSpaces of holomorphic almost periodic functions on a strip
dc.typetext

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