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arXiv 1611.00550math.SPmath.CAmath.FA
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关于半轴上具有局部平方可积〔的〕的Dirac系统的加速子及其类似物和矩形Weyl函数的特征

On accelerants and their analogs, and on the characterization of the rectangular Weyl functions for Dirac systems with locally square-integrable potentials on a semi-axis

Alexander Sakhnovich

摘要:

我们刻画了对应于半轴上具有局部平方可积〔的〕势的Dirac系统的矩形Weyl矩阵函数集,并给出了一种由Weyl函数恢复局部平方可积〔的〕势的新方法.我们的方法和卷积算子的加速剂之间的重要联系进行了讨论。

英文摘要:

We characterize the set of rectangular Weyl matrix functions corresponding to Dirac systems with locally square-integrable potentials on a semi-axis and demonstrate a new way to recover the locally square-integrable potential from the Weyl function. Important interconnections between our approach and accelerants of convolution operators are discussed as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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