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

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

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Official URL: http://192.168.1.20/record=b1378236 (Table of Contents)

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
ID Code:26783
Deposited By:IC-Cataloging
Deposited On:18 Mar 2015 10:31
Last Modified:18 Mar 2015 10:31

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