Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/6598
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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