Inversion of Series of Resolvents for Closed Operators and Some Applications

被引：0
|
作者：
Mirotin A.R. [1 ]
机构：
[1] Francisk Skorina Gomel State University, Gomel
来源：
Siberian Advances in Mathematics | 2022年 / 32卷 / 2期
关键词：
closed operator; ill-posed problem; integral equation of the first kind; inverse operator; inverse problem; recursive filter; regularization strategy;
D O I：
10.1134/S1055134422020079
中图分类号：
学科分类号：
摘要：
Abstract: We consider an operator represented by the sum of a series in the values of the resolvent ofa densely defined closed operator in a complex Banach space. We describe the left inverse for thisoperator, apply this result to regularization of equations of the first kind, and consider severalexamples. © 2022, Pleiades Publishing, Ltd.
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页码：145 / 156
页数：11
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