Aleksandrov-Clark measures and semigroups of analytic functions in the unit disc

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dc.creatorBracci, Filippo
dc.creatorContreras, Manuel D.
dc.creatorDiaz-Madrigal, Santiago
dc.date2007-01-29
dc.date.accessioned2026-07-07T07:43:38Z
dc.date.available2026-07-07T07:43:38Z
dc.descriptionIn this paper we prove a formula describing the infinitesimal generator of a continuous semigroup $(\v_t)$ of holomorphic self-maps of the unit disc with respect to a boundary regular fixed point. The result is based on Alexandrov-Clark measures techniques. In particular we prove that the Alexandrov-Clark measure of $(\v_t)$ at a boundary regular fixed points is differentiable (in the weak$^\ast$-topology) with respect to $t$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0701834
dc.identifierhttp://arxiv.org/abs/math/0701834
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122904
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject30E20, 30D40
dc.titleAleksandrov-Clark measures and semigroups of analytic functions in the unit disc
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