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Title: | Riesz basis property of the root functions of non-selfadjoint operators with regular boundary conditions | Authors: | Kıraç, Alp Arslan. | Keywords: | Asymptotics formulas Regular boundary conditions Riesz basis |
Abstract: | We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator ly ? -y? + q(x)y with periodic and antiperiodic boundary conditions that are not strongly regular, when the potential q(x) is a complex-valued absolutely continuous function and q(0) ? q(1). Using these asymptotic formulas, we prove that the root functions of these operators form a Riesz basis in the space L2(0, 1). | URI: | https://hdl.handle.net/11499/6598 | ISSN: | 1312-8876 |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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