Abstract

We consider a Dirac type operator with matrix coefficients. Estimates for the root vector functions are established, and criteria for the Bessel property and the unconditional basis property of the root vector function systems of this operator in the space \(L_{2}^{2m}(G) \), where \(G=(a,b)\subset \mathbb {R} \) is a finite interval, are obtained.

中文翻译：

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具有可积势的$$2m $$阶狄拉克型算子的根向量函数系统的性质

摘要

我们考虑具有矩阵系数的狄拉克型算子。建立根向量函数的估计，并确定空间\(L_{2}^{2m}(G) \)中该算子的根向量函数系统的贝塞尔性质和无条件基性质的标准，其中\ (G=(a,b)\subset \mathbb {R} \)是有限区间，求得。