Riesz bases of eigenfunctions of 1D Dirac operator with strictly regular boundary condition

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Duman, Hatice (2011) Riesz bases of eigenfunctions of 1D Dirac operator with strictly regular boundary condition. [Thesis]

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Abstract

One dimensional Dirac operators [equation] considered with L2-potentials [equation] ; and subject to regular boundary conditions bc have discrete spectrum. In this thesis, we study basic properties of Riesz bases, prove existence of Riesz bases consisting of root functions of Dirac operators Lbc subject to strictly regular bc, nd adjoint operator (Lbc), nd all self-adjoint bc, and calculate some special self-adjoint extensions.
Item Type: Thesis
Uncontrolled Keywords: Functional analysis. -- Differential operators. -- Dirac operator. -- Riesz basis. -- Riesz tabanı. -- Fonksiyonel analiz. -- Diferensiyel operatörler. -- Dirac operatör.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 18 Mar 2015 10:31
Last Modified: 26 Apr 2022 10:04
URI: https://research.sabanciuniv.edu/id/eprint/26783

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