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

内容簡介：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.

報告人：中南大學  賀福利  副教授

報告人簡介：碩士研究生導師，美國數學評論評論員。主要從事複分析，Clifford分析，Riemann Hilbert問題及其相關，數學建模與應用等方向的研究，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》、《數學學報》以及《數學年刊》等國内外刊物上發表論文20餘篇。

時  間：2019年7月6日（周六）下午4：00始

地  點：南海樓224室

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