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arXiv 1003.3070math.GM
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有限希尔伯特变换对数势与奇异积分方程

Finite Hilbert Transforms Logarithmic Potentials and Singular Integral Equations

Dang Vu Giang

摘要:

证明了几个关于有限希尔伯特变换和对数积分的有趣公式,并应用于确定具有$1-$截势的解析随机矩阵模型的平衡测度、平面极限和求解奇异积分方程.

英文摘要:

Several interesting formulas concerning finite Hilbert transform and logarithmic integrals are proved with application in determining equilibrium measures, planar limits of analytic random matrix models with $1-$cut potential and solving singular integral equations.

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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