具有可积势的$$2m $$ th阶Dirac型算子的根向量函数系的性质

Pub Date : 2023-11-23 DOI:10.1134/s00122661230100014

E. C. Ibadov

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引用次数: 0

摘要

考虑一类具有矩阵系数的Dirac型算子。建立了根向量函数的估计，得到了该算子的根向量函数系统在$G=(a,b)\subset \mathbb {R} $为有限区间的空间$L_{2}^{2m}(G) $上的贝塞尔性质和无条件基性质的判据。

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On the Properties of the Root Vector Function Systems of a $$2m $$ th-Order Dirac Type Operator with an Integrable Potential

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.

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