Pseudocontinuation and cyclicity for random power series - Archive ouverte HAL Access content directly
Journal Articles Journal of the Institute of Mathematics of Jussieu Year : 2008

Pseudocontinuation and cyclicity for random power series

Abstract

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 and versions

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

Identifiers

Cite

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⟩
68 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More