This is a preview of subscription content, log in via an institution to check access.
Literature Cited
T. Gamelin, Uniform Algebras, Prentice-Hall, Englewood Cliffs, New Jersey (1969).
K. H. Hofmann and P. S. Mostert, Elements of Compact Semigroups, Merril, Columbus (1966).
E. Hewitt and K. Ross, Abstract Harmonic Analysis, Vol. 1, Springer-Verlag, Berlin (1963).
I. Kaplansky, Lie Algebras and Locally Compact Groups, University of Chicago Press (1971).
S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York-London (1962).
G. D. Mostow, “Extensibility of local Lie groups of transformations,” Ann. Math.,52, No. 3, 606–636 (1950).
J. E. Björk, “Compact group operating on Banach algebra,” Math. Ann.,205, No. 4, 281–297 (1973).
J. A. Wolf, “Translation-invariant function algebras on compact groups,” Proc. Am. Math. Soc.,17, No. 5, 977–985 (1966).
A. L. Rozenberg, “Invariant algebras on compact groups,” Mat. Sb.,81, No. 2, 176–184 (1970).
Additional information
Novosibirsk State University, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 1, pp. 23–36, January–February, 1979.
Rights and permissions
About this article
Cite this article
Gichev, V.M. Invariant function algebras on Lie groups. Sib Math J 20, 15–25 (1979). https://doi.org/10.1007/BF00976126
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00976126