第Ⅲ类非自共轭锥上的Gamma函数

The Gamma Functions on Nonselfdnal Cones of the Third Type

本文将Ｇａｍｍａ函数及Ｓｉｅｇｅｌ积分推广到一般的第Ⅲ类非自共轭锥上，作为其应用，显式给出了以这些锥为底的管状域（也称第一类Ｓｉｅｇｅｌ域）的Ｃａｕｃｈｙ－Ｓｚｅｇｏ核和形式Ｐｏｉｓｓｏｎ核。

In this paper, we generalize the Gamma function and Siegel integral tononselfdual cones of third type. As the applications, the Cauchy-Szego kernels andformal Poisson kernels on the tube domains (or Siegel domains of the first type) oversuch nonselfdual cones are given in the explicit forms.