Second-Order Differential Operators in the Limit Circle Case

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Yafaev, Dmitri R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211346
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Second-Order Differential Operators in the Limit Circle Case, Dmitri R. Yafaev, SIGMA 17 (2021), 077, 13 pages

We consider symmetric second-order differential operators with real coefficients such that the corresponding differential equation is in the limit circle case at infinity. Our goal is to construct the theory of self-adjoint realizations of such operators by analogy with the case of Jacobi operators....