The Poisson Integral for Generalized Half-Planes and Bounded Symmetric Domains

@inproceedings{Kornyi1965ThePI,
  title={The Poisson Integral for Generalized Half-Planes and Bounded Symmetric Domains},
  author={Adam Kor{\'a}nyi},
  year={1965}
}
  • Adam Korányi
  • Published 1965
  • Mathematics
  • In the case of the upper half-plane, or the unit disc in the theory of one complex variable, there is a simple classical way of constructing the Poisson kernel from the Szegb kernel function. This construction was successfully used in the more general cases of the four classical types of bounded symmetric domains by L. K. Hua [9], and in the case of wedge domains (i.e., tube domains over convex cones) by E. M. Stein, G. Weiss, and M. Weiss [18], and the author [11]. Recently S. G. Gindikin [4… CONTINUE READING

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