On root functions of fractional Schrödinger operator with singular potential

• Datum: 2016
• Hauptverfasser: Molyboga, V. M., Молибога, В. М.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2016
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/216
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We prove a completeness in the Hilbert space $L^{2}(\mathbb{T})$ of the system of eigenfunctions and associated functions of non-selfadjoint fractional Schr\"{o}dinger operator $\mathbb{D}^{2s}u+Vu$, $s\in (1/2,1)$, on a circle with singular potential $V$ from the negative Sobolev space $H^...