On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

Alp Arslan Kirac

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arXiv · 1407.0216

On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

Alp Arslan Kirac

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Abstract

In this paper, we consider the nonselfadjoint Sturm Liouville operator with and either periodic, or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in in terms of the Fourier coefficients of q.

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BibTeX RIS

Alp Arslan Kirac. 2014-07-01. On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems. https://arxiv.org/abs/1407.0216

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