most citedReflectionless Herglotz functions and generalized Lyapunov exponents

4 citations · 9 across the 4 of their papers we have counts for

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math.CV2007

Pseudocontinuation and cyclicity for random power series

Evgeny Abakumov, Alexei Poltoratski

We prove that a random function in the Hardy space is a non-cyclic vector for the backward shift operator almost surely. The question of existence of a local pseudocontinuati…

math.CV2007★ 1 cited

Uniqueness theorems for Cauchy integrals

Mark Melnikov, Alexei Poltoratski, Alexander Volberg

If is a finite complex measure in the complex plane $\C$ we denote by its Cauchy integral defined in the sense of principal value. The measure is called reflectionles…

math.CV2007★ 4 cited

Beurling-Malliavin theory for Toeplitz kernels

N. Makarov, A. Poltoratski

We consider the family of Toeplitz operators acting in the Hardy space in the upper halfplane; and are given meromorphic inner functions, and is…