On root functions of fractional Schrödinger operator with singular potential

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^...

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Bibliographic Details
Date:2016
Main Authors: Molyboga, V. M., Молибога, В. М.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/216
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine