Singular perturbations of fractionally-differential operators on the circle

• Дата: 2015
• Автори: Molyboga, V. M., Молибога, В. М.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2015
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/200
• Назва журналу: 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...