Singular perturbations of fractionally-differential operators on the circle

• Date: 2015
• Author Affiliations: В. М. Молибога — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Molyboga, V. M., Молибога, В. М.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/200
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In the article we study strongly singular perturbations, in general non-symmetric, of the non-negative fractionally-differential operators $\mathbb{D}^{2s}$ of order $s\in (1/2,\infty)$ on the circle, which coincides up to multiplier with derivative of H. Weyl. We define the perturbed operators, inv...