On the decomposition of unitary representations of Lie groups
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- by F. I. Mautner
- Proc. Amer. Math. Soc. 2 (1951), 490-496
- DOI: https://doi.org/10.1090/S0002-9939-1951-0041856-3
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References
- C. Chevalley, Theory of Lie groups, Princeton University Press, 1946.
- Lars Gårding, Note on continuous representations of Lie groups, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 331–332. MR 21943, DOI 10.1073/pnas.33.11.331
- F. I. Mautner, The completeness of the irreducible unitary representations of a locally compact group, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 52–54. MR 23245, DOI 10.1073/pnas.34.2.52
- F. I. Mautner, Unitary representations of locally compact groups. I, Ann. of Math. (2) 51 (1950), 1–25. MR 32650, DOI 10.2307/1969494
- F. I. Mautner, Unitary representations of locally compact groups. II, Ann. of Math. (2) 52 (1950), 528–556. MR 36763, DOI 10.2307/1969431 J. v. Neumann, Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren, Math. Ann. vol. 102 (1930) pp. 197-213.
- John von Neumann, On rings of operators. Reduction theory, Ann. of Math. (2) 50 (1949), 401–485. MR 29101, DOI 10.2307/1969463 L. Pontrjagin, Topological groups, Princeton University Press, 1939.
Bibliographic Information
- © Copyright 1951 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 2 (1951), 490-496
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0002-9939-1951-0041856-3
- MathSciNet review: 0041856