Integral representation formulas on analytic varieties
Let D a pseudoconvex domain with smooth boundary, \(h_ 1,h_ 2,...,h_ m\), \(m<n\), holomorphic functions in U, \(\bar D\subset U\), \(V:=\{z\in U:\quad h_ i(z)=0,\quad i=1,...,m\},\) \(M=V\cap D\), \(\partial M=V\cap \partial D\). The author derives integral representation formulas for holomorphic functions on M. These formulas generalize the Cauchy- Fantappiè formula, the Weil formula \((m=0)\), and Stout formula \((m=1)\).
integral representation formulas for holomorphic functions
scientific article; zbMATH DE number 3948707