Principles of localization for one-dimensional Schrödinger operator with distribution potential

• Datum: 2016
• Hauptverfasser: Mikhailets, V. A., Novikov, V. V., Михайлець, В. А., Новіков, В. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2016
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/259
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

In the paper, we investigate the spectrum of Shrodinger' operator $L$ with distribution potential from the space $H^{-1}_{loc}(\mathbb{R},\mathbb{R})$. We obtain a generalization of Ismagilov's principles of localizations which gives necessary and sufficient conditions for the spec...