Literature cited
W. Rudin, Function Theory in Polydiscs, Benjamin, New York (1969).
A. B. Aleksandrov, “The existence of inner functions in a ball,” Mat. Sb.,118 (1960), No. 2, 147–163 (1982).
L. K. Hua, Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, Am. Math. Soc., Providence (1963).
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. IV,” Mat. Sb.,104 (146), No. 3, 341–370 (1977).
A. Koranyi, “The Poisson integral for generalized halfplanes and bounded symmetric domains,” Ann. Math.,82, No. 2, 332–350 (1965).
E. M. Stein and N. J. Weiss, “Convergence of Poisson integrals for bounded symmetric domains,” Proc. Nat. Acad. Sci. U.S.A.,60, 1160–1162 (1968).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 44, pp. 98–103, 1985.
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Rashkovskii, A.Y. Dirichlet problem in a class of pluriharmonic functions in the generalized unit disc. J Math Sci 48, 325–329 (1990). https://doi.org/10.1007/BF01101254
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DOI: https://doi.org/10.1007/BF01101254