Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Hölder spaces

被引：0
作者：
I. V. Sadovnichaya
机构：
[1] Moscow State University,
来源：
Differential Equations | 2012年 / 48卷
关键词：
Fourier Series; Liouville Operator; Singular Potential; Biorthogonal System; Biorthogonal Expansion;
D O I：
暂无
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学科分类号：
摘要：
We establish the equiconvergence of expansions of an arbitrary function in the class L2(0, π) in the Fourier series in sines and in the Fourier series in the eigenfunctions of the first boundary value problem for the one-dimensional Schrödinger operator with a nonclassical potential. The equiconvergence is studied in the norm of the Hölder space. The potential is the derivative of a function that belongs to a fractional-order Sobolev space.
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页码：681 / 692
页数：11
相关论文
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