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Borichev, Alexander; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Volberg, Alexander (2022): Counting eigenvalues of Schrodinger operators with fast decaying complex potentials. In: Advances in Mathematics, Bd. 397, 108115

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Abstract

We give a sharp estimate of the number of zeros of analytic functions in the unit disc belonging to analytic quasianalytic Carleman-Gevrey classes. As an application, we estimate the number of the eigenvalues for discrete Schrodinger operators with rapidly decreasing complex-valued potentials, and, more generally, for non-symmetric Jacobi matrices.(c) 2021 Elsevier Inc. All rights reserved.

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