An Analogue of the Gelfand–Levitan Trace Formula for the Sturm–Liouville Operator with a Meromorphic Potential
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Published:2022-06
Issue:6
Volume:43
Page:1519-1531
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ISSN:1995-0802
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Container-title:Lobachevskii Journal of Mathematics
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language:en
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Short-container-title:Lobachevskii J Math
Author:
Ishkin Kh.,Davletova L.
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference16 articles.
1. Kh. K. Ishkin and R. I. Marvanov,‘‘On the class of potentials with trivial monodromy,’’ Lobachevskii J. Math. 42, 1166–1174 (2021).
2. M. A. Naimark, Linear Differential Operators (Frederick Ungar, New York, 1967), Vol. 1.
3. Kh. K. Ishkin, ‘‘Necessary conditions for the localization of the spectrum of the Sturm-Liouville problem on a curve,’’ Math. Notes 78, 64–75 (2005).
4. Kh. K. Ishkin, ‘‘On the uniqueness criterion for solutions of the Sturm–Liouville equation,’’ Math. Notes 84, 515–528 (2008).
5. Kh. K. Ishkin, ‘‘A localization criterion for the spectrum of the Sturm–Liouville operator on a curve,’’ St. Petersburg Math. J. 28, 37–63 (2017).