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Non-archimedean representations of compact groups. (English) Zbl 0224.43009

MSC:
43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
22D12 Other representations of locally compact groups
46B99 Normed linear spaces and Banach spaces; Banach lattices
46C99 Inner product spaces and their generalizations, Hilbert spaces
22C05 Compact groups
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
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References:
[1] C. Curtis , I. Reiner [1] Representation theory of finite groups and associative algebras . New York, 1962. · Zbl 0131.25601
[2] E. Hewitt , K. Ross [2] Abstract harmonic analysis . New York, I, 1963; II, 1970. · Zbl 0213.40103
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[4] K. Hofmann , P. Mostert [4] Elements of compact semigroups , Columbus Ohio, 1966. · Zbl 0161.01901
[5] G. Kalisch [5] On p-adic Hilbert spaces . Ann. Math. 48 (1947). 180-192. · Zbl 0029.14102
[6] R. Larson [6] Cocommutative Hopf algebras . Can. J. Math. 19 (1967), 350-360. · Zbl 0149.02201
[7] A. Monna , T. Springer [7] Intégration non-archimédienne I, II . Indag. Math. 25 (1963), 634-654. · Zbl 0147.11803
[8] A. Monna , T. Springer [8] Sur la structure des espaces de Banach non-archimédiens . Indag. Math. 27 (1965), 602-614. · Zbl 0127.06502
[9] M. Van Der Put [9] Algèbres de fonctions continues p-adiques (Thesis) . Utrecht, 1967. · Zbl 0167.43503
[10] W. Schikhof [10] Non-archimedean harmonic analysis (Thesis) . Nijmegen, 1967. · Zbl 0154.15401
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