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

• Date: 2016
• Author Affiliations: В. А. Михайлець — Інститут математики НАН України; В. В. Новіков — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Mikhailets, V. A., Novikov, V. V., Михайлець, В. А., Новіков, В. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/259
• Journal Title: 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...