Algebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a Semigroup: Hermite Property and its Applications

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dc.creatorRodman, L.
dc.creatorSpitkovsky, Ilya M.
dc.date2008-04-11
dc.date.accessioned2026-07-07T09:32:02Z
dc.date.available2026-07-07T09:32:02Z
dc.descriptionIt is proved that the unital Banach algebra of almost periodic functions of several variables with Bohr-Fourier spectrum in a given additive semigroup is an Hermite ring. The same property holds for the Wiener algebra of functions that in addition have absolutely convergent Bohr-Fourier series. As applications of the Hermite property of these algebras, we study factorizations of Wiener--Hopf type of rectangular matrix functions and the Toeplitz corona problem in the context of almost periodic functions of several variables.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0804.1945
dc.identifierhttp://arxiv.org/abs/0804.1945
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158668
dc.subjectFunctional Analysis
dc.subject42A75 (Primary); 46C20, 46J20, 47A68, 47B35 (Secondary)
dc.titleAlgebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a Semigroup: Hermite Property and its Applications
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