Literature Cited
N. J. Cutland, “Nonstandard measure theory and its applications,”Bull. London Math. Soc.,15, No. 6, 529–589 (1983).
E. I. Gordon, “Nonstandard finite-dimensional analogs of operators inL 2(R n),”Sib. Mat. Zh., No. 2, 45–59 (1988).
E. I. Gordon, “On the Fourier transform in nonstandard analysis,”Izv. Vuzov. Matematika, No. 2 (1989).
J. L. Kelley,General Topology, Van Nostrand, New York (1955).
L. S. Pontryagin,Topological Groups, Princeton University Press (1939).
E. Nelson, “Internal set theory,”Bull. Amer. Math. Soc.,83, No. 6, 1165–1198 (1977).
V. E. Lyantse and T. S. Kudrik, “On functions of a discrete variable. 1. Discrete differentiation and integration,” L'vov University Publication (1987).
E. I. Gordon, “Nonstandard finite-dimensional spaces,” Gor'kii State University Publication (1984).
Z. I. Borevich and I. R. Shafarevich,Number Theory, Academic Press, New York (1966).
Additional information
Gor'kii. Translated fromSibirskii Matematicheskii Zhurnal, Vol. 32, No. 2, pp. 26–40, March–April 1991.
Rights and permissions
About this article
Cite this article
Gordon, E.I. Nonstandard analysis and compact Abelian groups. Sib Math J 32, 197–209 (1991). https://doi.org/10.1007/BF00972766
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00972766