HILBERT PROBLEM FOR THE CAUCHY-RIEMANN EQUATION WITH A SINGULAR CIRCLE AND A SINGULAR POINT

A. B. Rasulov; M. A. Bobodzhanova; Yu. S. Fedorov

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HILBERT PROBLEM FOR THE CAUCHY-RIEMANN EQUATION WITH A SINGULAR CIRCLE AND A SINGULAR POINT

机译：具有奇异圆和奇点的Cauchy-Rieman方程的希尔伯特问题

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摘要

We examine a generalized Cauchy-Riemann-type system whose coefficients have singularities, construct the resolvent of the corresponding integral equation, and find an integral representation of the general solution.

机译：我们研究了系数具有奇异性的广义Cauchy-Riemann型系统，构造了相应积分方程的分解，并找到了一般解的积分表示。

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来源
《Journal of Mathematical Sciences》 |2019年第3期|327-339|共13页
作者
A. B. Rasulov; M. A. Bobodzhanova; Yu. S. Fedorov;
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作者单位

National Research University 'Moscow Power Engineering Institute,' Moscow, Russia;

National Research University 'Moscow Power Engineering Institute,' Moscow, Russia;

National Research University 'Moscow Power Engineering Institute,' Moscow, Russia;

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原文格式 PDF
正文语种 eng
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关键词
generalized Cauchy-Riemann-type system; singular integral equation; Hilbert problem;

机译：广义Cauchy-Riemann型系统;奇异的整体方程;希尔伯特问题;

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专利

1. HILBERT PROBLEM FOR THE CAUCHY-RIEMANN EQUATION WITH A SINGULAR CIRCLE AND A SINGULAR POINT [J] . A. B. Rasulov, M. A. Bobodzhanova, Yu. S. Fedorov Journal of Mathematical Sciences . 2019,第3期

机译：具有奇异圆圈和奇异点的Cauchy-riemann等式的Hilbert问题
2. Representation of the General Solution of an Equation of the Cauchy-Riemann Type with a Supersingular Circle and a Singular Point [J] . Rasulov A. B. Differential equations: A translation of differensial'nye uraveniya . 2017,第6期

机译：Cauchy-riemann型与超周圆和奇异点的一般解决方案的一般解
3. Singular integrals and estimates for the Cauchy-Riemann equations [J] . Stein E. M. Bulletin of the American Mathematical Society . 1973,第2期

机译：Cauchy-Riemann方程的奇异积分和估计
4. B-SPLINE INTERPOLATION METHOD FOR THE NUMERICAL SOLUTION OF SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL [C] . Moin Uddin, Sheo Kumar, A. L. Sangal International Conference on Scientific Computing . 2008

机译：HILBERT内核奇异整体方程数值解的B样条插值方法
5. Enumeration and normal forms of singularities in Cauchy-Riemann structures. [D] . Coffman, Adam Nathaniel. 1997

机译：柯西-黎曼结构中的奇数的列举和范式。
6. EIGENFUNCTION EXPANSIONS FOR SINGULAR ELLIPTIC OPERATORS. II. THE HILBERT SPACE ARGUMENT; PARABOLIC EQUATIONS ON OPEN MANIFOLDS [O] . Felix E. Browder 1954

机译：奇异椭圆算子的本征函数展开式。二。希尔伯特空间论证；开流形上的抛物线方程
7. Higher order analogues to the tangential Cauchy-Riemann equations for real submanifolds of ${f C}sp{n}$ with C.R. singularity [O] . Gary Alvin Harris 1979

机译：高阶类似物到$ { bf c} sp {n} $的真实子植物的切线cauchy-riemann方程式。
8. Numerical Quadrature Methods for Integrals of Singular Periodic Functions and Their Application to Singular and Weakly Singular Integral Equations [R] . Sidi, A., Israeli, M. 1986

机译：奇异周期函数积分的数值求积方法及其在奇异和弱奇异积分方程中的应用

HILBERT PROBLEM FOR THE CAUCHY-RIEMANN EQUATION WITH A SINGULAR CIRCLE AND A SINGULAR POINT

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