数学物理学报(英文版) ›› 1989, Vol. 9 ›› Issue (2): 199-213.
李邦河, 李雅卿
Li Banghe, Li Yaqing
摘要: The present paper gives several theorems concerning analytic and harmonic continuations described by distributional limits. For distributions on spheres, comparatively complete results are given. Generalizing the Direchlet and Neumann problem so that the boundary values are distributions, we obtain the results on existence and uniqueness. For one complex variable, a generalized Riemann's mapping theorem is obtained.