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首页> 外文期刊>Differential equations: A translation of differensial'nye uraveniya >Analog of the Riesz theorem and the basis property in L_p of a system of root functions of a differential operator: I
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Analog of the Riesz theorem and the basis property in L_p of a system of root functions of a differential operator: I

机译:Riesz定理的类比和微分算子根函数系统的L_p的基本性质:I

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摘要

An ordinary differential operator of arbitrary order is considered. We find necessary conditions for the Riesz property of systems of normalized root functions, prove an analog of the Riesz theorem, and use it to obtain sufficient conditions for the basis property of a system of root functions of this operator in L_p.
机译:考虑任意阶的普通微分算子。我们找到了归一化根函数系统的Riesz性质的必要条件,证明了Riesz定理的类似物,并使用它为L_p中该算符的根函数系统的基本性质提供了充分的条件。

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