Bavrin, I. I.; Yaremko, O. Eh. Integral representations in Temlyakov-Weil domains. (English. Russian original) Zbl 0633.32003 Sov. Math., Dokl. 34, 215-218 (1987); translation from Dokl. Akad. Nauk SSSR 289, No. 6, 1293-1297 (1986). An integral representation of holomorphic functions is obtained for a class of bounded domains in \({\mathbb{C}}^ n\) that stratify into a one- parameter union of special analytic polyhedra. The kernel of the integral formula is holomorphic and expressed in closed form. The Temlyakov formula of the second kind and the Bergman-Weil integral formula are special cases of the new representation. Reviewer: A.Yu.Rashkovskij MSC: 32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.) Keywords:integral representation of holomorphic functions; analytic polyhedra PDF BibTeX XML Cite \textit{I. I. Bavrin} and \textit{O. Eh. Yaremko}, Sov. Math., Dokl. 34, 215--218 (1987; Zbl 0633.32003); translation from Dokl. Akad. Nauk SSSR 289, No. 6, 1293--1297 (1986)