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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2024 Volume 58, Issue 4, Pages 122–137 (Mi faa4223)

This article is cited in 1 paper

Finite-zone $\mathcal{PT}$-potentials

Iskander A. Taimanov

Novosibirsk State University, Novosibirsk, Russia

Abstract: We give a description of finite-zone $\mathcal{PT}$-potentials in terms of explicit theta-functional formulas.

Keywords: finite-zone Schrödinger operators, $\mathcal{PT}$-symmetry, spectral theory, theta-functional formulas for explicit solutions.

MSC: 34L40, 47A10, 14K25

Received: 18.04.2024
Revised: 06.06.2024
Accepted: 18.06.2024

DOI: 10.4213/faa4223


 English version:
Functional Analysis and Its Applications, 2024, 58:4, 438–450

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© Steklov Math. Inst. of RAS, 2025