Aĭzenberg, L. A. A multidimensional analogue of a formula of Carleman. (English. Russian original) Zbl 0586.32005 Sov. Math., Dokl. 30, 241-244 (1984); translation from Dokl. Akad. Nauk SSSR 277, 1289-1291 (1984). This paper concerns a further extension of the classical integral formula by T. Carleman [Les fonctions quasi analytiques. Paris: Gauthier-Villars (1926; JFM 52.0255.02)] for holomorphic functions, beyond the works of G. M. Goluzin (misspelled in the text) and V. I. Krylov [Rec. Math. Moscou 40, 144–149 (1933; Zbl 0007.41601)], D. J. Patil [Trans. Am. Math. Soc. 188, 97–103 (1974; Zbl 0243.32006)] and others. A main motivation and interest in this problem stems from ill-posed and conditionally well-posed problems (in the sense of M. M. Lavrent’ev). Reviewer: Erwin O. Kreyszig (Ottawa) Cited in 3 ReviewsCited in 1 Document MSC: 32A40 Boundary behavior of holomorphic functions of several complex variables 32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.) 32D99 Analytic continuation 32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables Keywords:integral representations; ill-posed problems; Carleman’s formula for holomorphic functions Citations:JFM 52.0255.02; Zbl 0007.41601; Zbl 0243.32006 PDFBibTeX XMLCite \textit{L. A. Aĭzenberg}, Sov. Math., Dokl. 30, 241--244 (1984; Zbl 0586.32005); translation from Dokl. Akad. Nauk SSSR 277, 1289--1291 (1984)