Article PDF
Avoid common mistakes on your manuscript.
References
Bishop, E., Analyticity in certain Banach algebras.Trans. Amer. Math. Soc., 102 (1962), 507–544.
Heins, M., Riemann surfaces of infinite genus.Ann. of Math., 55 (1952), 296–317.
Helson, H. &Quigley, F., Existence of maximal ideals in algebras of continuous functions.Proc. Amer. Math. Soc., 8 (1957), 115–119.
Myrberg, P. J., Über die analytische Fortsetzung von beschränkten Funktionen.Ann. Acad. Sci. Fenn., Ser AI, No. 58 (1949).
Royden, H. L., Riemann surfaces with the absoluteAB-maximum principle.Proceedings of the Conference on Complex Analysis, Minneapolis 1964. Springer, Berlin.
Selberg, H. L., Ein Satz über beschränkte endlichvieldeutige analytische Funktionen.Comment. Math. Helv., 9 (1936), 104–108.
Wermer, J., Function rings and Riemann surfaces.Ann. of Math., 67 (1958), 45–71.
Author information
Authors and Affiliations
Additional information
This research was sponsored by the U.S. Army Research Office (Durham) under Project No. 1323M.
Rights and permissions
About this article
Cite this article
Royden, H.L. Algebras of bounded analytic functions on Riemann surfaces. Acta Math. 114, 113–142 (1965). https://doi.org/10.1007/BF02391819
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02391819