ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS

Tumanov, S. N.

doi:10.31857/S2686954323700145

RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

ISSN (Print) 2686-9543

ISSN (Online) 3034-5049

ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS

PII

10.31857/S2686954323700145-1

DOI

10.31857/S2686954323700145

Publication type

Status

Published

Authors

S. N. Tumanov

Affiliation: Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University

Volume/ Edition

Volume 510 / Issue number 1

Pages

39-42

Abstract

The spectral properties of the Sturm–Liouville operator on the semi-axis with the complex-valued potential with the range exceeding the half-plane, has been little studied. The operator in this case can be non-sectorial, the numerical range can coincide with the entire complex plane. In this situation we propose the conditions ensuring the discreteness of the spectrum and the compactness of the resolvent.

Keywords

Date of publication

01.09.2023

Year of publication

2023

Number of purchasers

Views

References

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4. Sears D.B. // Canadian journ. math. 1950. V. 2. № 3. P. 314–325.
5. Олвер Ф. Асимптотика и специальные функции. Academic Press, 1974. “Наука”, Физматлит, 1990.
6. Наймарк M.A. ДАН 1952. Т. 85. С. 41–44.
7. Ишкин Х.К. // Мат. заметки 2023. Т. 113.
8. Tumanov S.N. // JDE 2022. V. 319. P. 80–99.
9. Левин Б.Я. Распределение корней целых функций. Гос. Изд. Техн.-Теор. Лит., Москва, 1956.

GOST	Tumanov S. ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS // Doklady Mathematics. – 2023. – V. 510. – Issue number 1 C. 39-42 . URL: https://danmathras.ru/10-31857-s2686954323700145-1/?version_id=110202. DOI: 10.31857/S2686954323700145
MLA	Tumanov, S. N "ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS." Doklady Mathematics. 510.1 (2023).:39-42. DOI: 10.31857/S2686954323700145
APA	Tumanov S. (2023). ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS. Doklady Mathematics. vol. 510, no. 1, pp.39-42 DOI: 10.31857/S2686954323700145

RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS

You can

References

Индексирование

RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS

You can

References

Индексирование

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