Pseudocontinuation and cyclicity for random power series

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dc.creatorAbakumov, Evgeny
dc.creatorPoltoratski, Alexei
dc.date2007-04-20
dc.date.accessioned2026-07-07T07:57:44Z
dc.date.available2026-07-07T07:57:44Z
dc.descriptionWe prove that a random function in the Hardy space $H^2$ is a non-cyclic vector for the backward shift operator almost surely. The question of existence of a local pseudocontinuation for a random analytic function is also studied.
dc.identifierhttps://arxiv.org/abs/0704.2789
dc.identifierhttp://arxiv.org/abs/0704.2789
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127753
dc.subjectComplex Variables
dc.subject30E20
dc.titlePseudocontinuation and cyclicity for random power series
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