题  目：Riemann-Hilbert problems for null-solutions to iterated generalized Cauchy-Riemann equation on upper half ball

内容简介：We study Riemann-Hilbert boundary value problems with variable coefficients for axially symmetric null-solutions to iterated generalized Cauchy-Riemann equation, defined over upper half unit ball centred at the origin in four dimensional Euclidean space. First, we prove an Almansi-type decomposition theorem for axially symmetric null-solutions to iterated generalized Cauchy-Riemann equation. Then, we give integral representation solutions to Riemann-Hilbert problems for axially symmetric null-solutions to iterated generalized Cauchy-Riemann equation over upper half unit ball centred at the origin in four-dimensional Euclidean space. In particular, we derive solutions to Schwarz problem for axially symmetric null-solutions to iterated generalized Cauchy-Riemann equation over upper half unit ball centred at the origin in four-dimensional Euclidean space. Finally, we further extend the results in previous section to axially symmetric null-solutions to iterated generalized Cauchy-Riemann oprator over upper half unit ball centred at the origin in four-dimensional Euclidean space.

报告人：中南大学  贺福利  副教授

报告人简介：硕士研究生导师，美国数学评论评论员。主要从事复分析，Clifford分析，Riemann Hilbert问题及其相关，数学建模与应用等方向的研究，在《Computers & Mathematics with Applications 》、《Complex Variables and Elliptic Equations》、《Advances in Applied Clifford Algebras》、《Complex Analysis and Operator Theory 》、《Integral Transforms and Special Functions》、《Acta Mathematica Scientia》、《Boundary Value Problems 》、《Symmetry》、《数学学报》以及《数学年刊》等国内外刊物上发表论文20余篇。

时  间：2019年7月6日（周六）下午4：00始

地  点：南海楼224室

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2019年7月3日