题目：Quaternionic Hyperbolic Function Theory

报告人：  Prof. Sirkka-Liisa Eriksson，
         Department of Mathematics, Tampere University of Technology, Finland

时间：2013年4月25日（星期五）下午2：00-3：00

地点：管理科研楼1518

摘要: 
We consider harmonic functions with respect to the Laplace-Beltrami operator of the usual Riemannian metric divided by the 2k-th power of x 2 and their function theory in the three dimension space. Leutwiler noticed around 1990 that if the usual Euclidean metric is changed to the hyperbolic one, that is k = 1, then the usual power function is the conjugate gradient of the a hyperbolic harmonic function. We study generalized holomorphic functions, called k-hypermonogenic functions. Note that 0-hypermonogenic are monogenic and 1-hypermonogenic functions are hypermonogenic defined by H. Leutwiler and the author.
We prove the Cauchy type integral formulas for k-hypermonogenic where the kernels are calculted using the hyperbolic distance of the Poincare upper half space model. Earlier these results have been proved for hypermonogenic functions.

主办单位：我校研究生院
         我校数学学院

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