Bibliography
Behnke, H.: Généralisation du théorème de Runge pour des fonctions multiformes de variables complexes. Colloque sur les fonctions de plusieurs variables. Bruxelles 1953.
Bremermann, H. J.: Complex convexity. Trans. Am. Math. Soc.82, 17–51 (1956).
Helgason, S.: Differential geometry and symmetric spaces. New York-London: Academic Press 1962.
Hirzebruch, U.: Über die holomorphen Selbstabbildungen eines Halbraumes. Diss. Univ. Münster/Westf. 1960, 1–67.
Jacobson, N.: Derivation algebras and multiplication algebra of semi-simple Jordan algebras. Ann. Math.50, 866–874 (1948).
—— Some groups of transformations defined by Jordan algebras, I. J. reine angew. Math.201, 178–195 (1959).
Koecher, M.: Jordan algebras and their applications. Univ. of Minnesota, 1962 (multilithed).
Koranyi, A., andJ. A. Wolf: Realization of Hermitian symmetric spaces as tube domains. Univ. of California at Berkeley, 1963 (multilithed).
Oka, K.: Sur les fonctions analytiques de plusieurs variables, IX. Jap. J. Math.23, 97–155 (1953).
Author information
Authors and Affiliations
Additional information
National Science Foundation Postdoctoral Fellow. The author wishes to thank Profs.Koranyi andWolf for communicating their results to him and for helpful comments on an earlier draft of this paper, and Prof.Koecher for stimulating and useful counsel throughout its preparation.
Rights and permissions
About this article
Cite this article
Resnikoff, H.L. The maximum modulus principle for tubes over domains of positivity. Math. Ann. 156, 340–346 (1964). https://doi.org/10.1007/BF01362449
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01362449