On the Bavrin Integro-Differential Operators and Their Applications to Solution of Functional Equations

被引:0
作者
A. S. Yakshina
机构
[1] Blagoveshchensk State Pedagogical University,
来源
Siberian Mathematical Journal | 2003年 / 44卷
关键词
integro-differential operator; integral representation; multidimensional complex analysis;
D O I
暂无
中图分类号
学科分类号
摘要
We construct a multiplicative group structure in the class of integro-differential operators specific for a polydisk which was introduced by I. I. Bavrin. We indicate two applications of these operators to solution of functional equations.
引用
收藏
页码:931 / 934
页数:3
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[32]   On the half inverse spectral problem for an integro-differential operator [J].
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Sat, M. .
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[34]   On an Inverse Spectral Problem for the Convolution Integro-Differential Operator of Fractional Order [J].
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[35]   Uniform stability of the inverse spectral problem for a convolution integro-differential operator [J].
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[36]   On inverse problem for a convolution integro-differential operator with Robin boundary conditions [J].
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Choque Rivero, A. E. .
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Azroul, E. ;
Kamali, N. ;
Shimi, M. .
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[38]   On an inverse spectral problem for one integro-differential operator of fractional order [J].
Ignatiev, Mikhail .
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2019, 27 (01) :17-23
[39]   On an Inverse Spectral Problem for the Convolution Integro-Differential Operator of Fractional Order [J].
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RESULTS IN MATHEMATICS, 2018, 73 (01)
[40]   Iris Localization Based on Integro-Differential Operator for Unconstrained Infrared Iris Images [J].
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