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Article Dans Une Revue Journal of the Institute of Mathematics of Jussieu Année : 2008

Pseudocontinuation and cyclicity for random power series

Résumé

We 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.

Dates et versions

hal-00693066 , version 1 (01-05-2012)

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Evgeny Abakumov, Alexei Poltoratski. Pseudocontinuation and cyclicity for random power series. Journal of the Institute of Mathematics of Jussieu, 2008, 7 (3), pp.413--424. ⟨10.1017/S1474748008000121⟩. ⟨hal-00693066⟩
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