RIEMANN PROBLEM FOR GENERALIZED HYPERANALYTIC FUNCTIONS ON SET OF COUNTABLE SMOOTH CLOSED CURVES

RIEMANN PROBLEM FOR GENERALIZED HYPERANALYTIC FUNCTIONS ON SET OF COUNTABLE SMOOTH CLOSED CURVES

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摘要 A continuously differntiable solution of hyercomplex elliptic equationDW+AW+BW=0, z=x+iy （1）is called generalized hyperanalytic function, here D is Douglis differentiat operator. Suppose L consists ofcountable soomth Jordan closed curves Lk k=1, 2, …, the finite domain surrounded by Lk is denotedGk+, All Gk+ don’t intersect one another, the positive directions of Lk are determined as usual, and {Lk}converges at a finite z0. Set L= L∪（Z0） , G+ = Gk+, G-=C\G+.This paper deals with the Riemann problem ; find a piecewise generalized hyperanalytic function w（z）in the whole plane C, satisfying the bounbary condition on

作者曾岳生

机构地区 Huaihua Teacher's College

出处《四川师范大学学报（自然科学版）》 CAS CSCD 1991年第1期89-90,共2页 Journal of Sichuan Normal University（Natural Science）

关键词 satisfying RIEMANN ELLIPTIC deals PIECEWISE usual DIRECTIONS JORDAN continuously 胡加

分类号 N55，G658.3 [自然科学总论]

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四川师范大学学报（自然科学版）

1991年第1期

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RIEMANN PROBLEM FOR GENERALIZED HYPERANALYTIC FUNCTIONS ON SET OF COUNTABLE SMOOTH CLOSED CURVES

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