A theory of spherical functions. I

Godement, Roger

doi:10.1090/S0002-9947-1952-0052444-2

A theory of spherical functions. I
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by Roger Godement

Trans. Amer. Math. Soc. 73 (1952), 496-556

DOI: https://doi.org/10.1090/S0002-9947-1952-0052444-2

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References

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Topologie générale

Claude Chevalley, Theory of Lie groups. I, Princeton University Press, Princeton, N. J., 1946 1957. MR 0082628
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Roger Godement, Les fonctions de type positif et la théorie des groupes, Trans. Amer. Math. Soc. 63 (1948), 1–84 (French). MR 23243, DOI 10.1090/S0002-9947-1948-0023243-1

Théorèmes taubériens et théorie spectrale

Sur la théorie des représentations unitaires

Roger Godement, Mémoire sur la théorie des caractères dans les groupes localement compacts unimodulaires, J. Math. Pures Appl. (9) 30 (1951), 1–110 (French). MR 41857
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Representations of semi-simple Lie groups

Kenkichi Iwasawa, On some types of topological groups, Ann. of Math. (2) 50 (1949), 507–558. MR 29911, DOI 10.2307/1969548
N. Jacobson, Structure theory of simple rings without finiteness assumptions, Trans. Amer. Math. Soc. 57 (1945), 228–245. MR 11680, DOI 10.1090/S0002-9947-1945-0011680-8
Irving Kaplansky, Groups with representations of bounded degree, Canad. J. Math. 1 (1949), 105–112. MR 28317, DOI 10.4153/cjm-1949-011-9
Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219–255. MR 42066, DOI 10.1090/S0002-9947-1951-0042066-0
George W. Mackey, Imprimitivity for representations of locally compact groups. I, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 537–545. MR 31489, DOI 10.1073/pnas.35.9.537
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Zur algebra der Funktionaloperatoren und Theorie der normalen Operatoren

Théorie des Distributions

L’intégration dans les groupes topologiques et ses applications

Gruppen theorie und Quantenmechanik