Hyperbolicity of semigroups and Fourier multipliers

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dc.creatorLatushkin, Yuri
dc.creatorShvidkoy, Roman
dc.date2001-07-28
dc.date.accessioned2026-07-07T04:42:46Z
dc.date.available2026-07-07T04:42:46Z
dc.descriptionWe present a characterization of hyperbolicity for strongly continuous semigroups on Banach spaces in terms of Fourier multiplier properties of the resolvent of the generator. Hyperbolicity with respect to classical solutions is also considered. Our approach unifies and simplifies the M. Kaashoek-- S. Verduyn Lunel theory and multiplier-type results previously obtained by S. Clark, M. Hieber, S. Montgomery-Smith, F. Räbiger, T. Randolph, and L. Weis.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0107205
dc.identifierhttp://arxiv.org/abs/math/0107205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61923
dc.subjectFunctional Analysis
dc.subjectPrimary: 47D06; Secondary: 42B15
dc.titleHyperbolicity of semigroups and Fourier multipliers
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