On the Differentability of the Unitary Representation of the Lie Group

Jyun-ichi HANO

doi:10.2969/jmsj/00230270

Jyun-ichi HANO

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1951 Volume 2 Issue 3-4 Pages 270-283

DOI https://doi.org/10.2969/jmsj/00230270

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Published: 1951 Received: October 30, 1950 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. Chevalley, Theory of Lie groups, Princeton 1946.
2) R. Godement, Les fonctions de type positif et la théorie des groupes, Trans. Amer. Math. Soc., 63 (1948).
3) J. von Neumann, Über die analytischen Eigenschaften von Gruppen lineare Transformationen und ihrer Darstellungen, Math. Zeit., 30 (1926).
4) J. von Neumann, Über einen Satz von Herrn M. H. Stone, Ann. of Math., 33 (1932).
5) K. Yosida, On the group embedded in the metrical complete ring I, II, Jap. J. Math., 13 (1936)
6) K. Yosida, On the differentiability and the representation of one-parameter semi-group of linear operators, J. Math. Soc. of Japan, 1 (1948).
7) H. Yosizawa, Uuitary representations of locally compact groups-Reproduction of Gelfa d Raikov's theorem-, Osaka Math. J., 1 (1949).

Right : [1] C. Chevalley, Theory of Lie groups, Princeton 1946.
[2] R. Godement, Les fonctions de type positif et la théorie des groupes, Trans. Amer. Math. Soc., 63 (1948).
[3] J. von Neumann, Über die analytischen Eigenschaften von Gruppen lineare Transformationen und ihrer Darstellungen, Math. Zeit., 30 (1926).
[4] J. von Neumann, Über einen Satz von Herrn M. H. Stone, Ann. of Math., 33 (1932).
[5] K. Yosida, On the group embedded in the metrical complete ring I, II, Jap. J. Math., 13 (1936)
[6] K. Yosida, On the differentiability and the representation of one-parameter semi-group of linear operators, J. Math. Soc. of Japan, 1 (1948).
[7] H. Yosizawa, Uuitary representations of locally compact groups-Reproduction of Gelfa d-Raikov's theorem-, Osaka Math. J., 1 (1949).

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