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Kirillov, A. A.

The characters of unitary representations of Lie groups. (English. Russian original) Zbl 0174.45001

Funct. Anal. Appl. 2, 133-146 (1968); translation from Funkts. Anal. Prilozh. 2, No. 2, 40-55 (1968).
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Keywords:

functional analysis
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\textit{A. A. Kirillov}, Funct. Anal. Appl. 2, 133--146 (1968; Zbl 0174.45001); translation from Funkts. Anal. Prilozh. 2, No. 2, 40--55 (1968)
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References:

[1] I. M. Gel’fand, ”The center of the infinitesimal group ring,” Mat. Sb.,26, 103-112 (1950).
[2] A. A. Kirillov, ”Unitary representations of nilpotent Lie groups,” Uspekhi Mat. Nauk,17, No. 4, 57-101 (1962). · Zbl 0106.25001
[3] A. A. Kirillov, ”The method of orbits in the theory of unitary representations of Lie groups,” Funktsional. Analiz i Ego Prilozhen.,2, No. 1, 96-98 (1968). · Zbl 0194.33804
[4] A. A. Kirillov, ”The Plancherel measure for nilpotent Lie groups,” Funktsional. Analiz i Ego Prilozhen.,1, No. 4, 84-85 (1967). · Zbl 0167.43703
[5] L. S. Pontryagin, Continuous Groups [in Russian], Gostekhizdat, Moscow (1954). · Zbl 0058.26003
[6] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York (1962). · Zbl 0111.18101
[7] G. W. Mackey, ”Infinite-dimensional representations of groups,” Matematika, 6:6, 57-103 (1962).
[8] G. W. Mackey, ”Induced representations of locally compact groups. I,” Ann. Math.,55, 101-139 (1952). · Zbl 0046.11601
[9] I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Nonself-adjoint Linear Operators [in Russian], ”Nauka,” Moscow (1965).
[10] M. M. Day, Normed Linear Spaces, Springer-Verlag, Berlin (1958). · Zbl 0082.10603
[11] F. A. Berezin, ”Laplace operators on semisimple Lie groups,” Trudy Mosk. Matem. Obshch.,6, 371-463 (1957). · Zbl 0091.28201
[12] A. Borel and F. Hirzebruch, ”Characteristic classes and homogeneous spaces, I, II,” Amer. J. Math.,80, No. 2, 458-538 (1958);81, No. 2, 315-382 (1959). · Zbl 0097.36401
[13] E. B. Dynkin and A. L. Onishchik, ”Compact global Lie groups,” Uspekhi Mat. Nauk,10, No. 4, 3-74 (1955). · Zbl 0065.26201
[14] Harish-Chandra, ”Differential operators on a semisimple Lie algebra,” Amer. J. Math.,79, No. 1, 87-120 (1957). · Zbl 0072.01901
[15] The Theory of Lie Algebras. The Topology of Lie Groups [Russian translation], IL, Moscow (1962).
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