Distal functions on groups
HTML articles powered by AMS MathViewer
- by A. W. Knapp PDF
- Trans. Amer. Math. Soc. 128 (1967), 1-40 Request permission
References
- L. Auslander and F. Hahn, Real functions coming from flows on compact spaces and concepts of almost periodicity, Trans. Amer. Math. Soc. 106 (1963), 415–426. MR 144325, DOI 10.1090/S0002-9947-1963-0144325-8
- S. Bochner, A new approach to almost periodicity, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 2039–2043. MR 145283, DOI 10.1073/pnas.48.12.2039 N. Dunford and J. T. Schwartz, Linear operators. Part I, Interscience, New York, 1958.
- Robert Ellis, Distal transformation groups, Pacific J. Math. 8 (1958), 401–405. MR 101283
- Robert Ellis, A semigroup associated with a transformation group, Trans. Amer. Math. Soc. 94 (1960), 272–281. MR 123636, DOI 10.1090/S0002-9947-1960-0123636-3
- Robert Ellis and W. H. Gottschalk, Homomorphisms of transformation groups, Trans. Amer. Math. Soc. 94 (1960), 258–271. MR 123635, DOI 10.1090/S0002-9947-1960-0123635-1
- H. Furstenberg, Strict ergodicity and transformation of the torus, Amer. J. Math. 83 (1961), 573–601. MR 133429, DOI 10.2307/2372899
- H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477–515. MR 157368, DOI 10.2307/2373137
- A. W. Knapp, Distal functions, Proc. Nat. Acad. Sci. U.S.A. 52 (1964), 1409–1412. MR 171159, DOI 10.1073/pnas.52.6.1409 —, Distal functions on abelian groups, Thesis, Princeton Univ., Princeton, N. J., 1965.
- A. W. Knapp, Decomposition theorem for bounded uniformly continuous functions on a group, Amer. J. Math. 88 (1966), 902–914. MR 208402, DOI 10.2307/2373087
- J. v. Neumann, Almost periodic functions in a group. I, Trans. Amer. Math. Soc. 36 (1934), no. 3, 445–492. MR 1501752, DOI 10.1090/S0002-9947-1934-1501752-3
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 128 (1967), 1-40
- MSC: Primary 54.82
- DOI: https://doi.org/10.1090/S0002-9947-1967-0222873-3
- MathSciNet review: 0222873