周期边值问题根函数组的Riesz基性
On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems
摘要：
本文研究了非自伴Sturm-Liouville算子的周期边界条件和反周期边界条件。我们根据q的傅里叶系数得到了这类算子的根函数系成为Riesz基的充要条件。
英文摘要：
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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