Sternin, B. Yu.; Shatalov, V. E. On a global integral representation of complex-analytic functions on a Stein manifold. (English. Russian original) Zbl 0793.32003 Russ. Acad. Sci., Dokl., Math. 46, No. 2, 369-372 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 5, 792-795 (1992). The authors give an integral representation of multivalued analytic functions on a Stein manifold. This work continues and generalizes similar results of the authors in \(\mathbb{C}^ n\). Reviewer: P.Z.Agranovich (Khar’kov) MSC: 32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.) 32E10 Stein spaces Keywords:integral representation; multivalued analytic functions; Stein manifold PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Russ. Acad. Sci., Dokl., Math. 46, No. 2, 1 (1992; Zbl 0793.32003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 5, 792--795 (1992)