A realization of Riemannian symmetric spaces

Toshio OSHIMA

doi:10.2969/jmsj/03010117

Toshio OSHIMA

著者情報

ジャーナルフリー

1978 年 30 巻 1 号 p. 117-132

DOI https://doi.org/10.2969/jmsj/03010117

詳細

Published: 1978 Received: 1977/01/07 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. Borel, Les fonctions automorphes de plusieurs variables complexes, Bull. Soc. Math. France, 80 (1952), 167-182.
2) A. Borel, Les espaces hermitiens symmétriques, Séminaire Bourbaki, 1952.
3) N. Bourbaki, Eléments de Mathématique, Topologie Générale, Chapter 1, Herman, Paris, 1965.
4) H. Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math., 77 (1963), 335-386.
5) Harish-Chandra, Representations of semi-simple Lie groups, V, VI, Amer. J. Math., 78 (1956), 1-41, 564-628.
6) S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
7) M. Ise, On canonical realizations of bounded symmetric domains as matrix-spaces, Nagoya Math. J., 42 (1971), 115-133.
8) M. Kashiwara, A. Kowata, K. Minemura, K. Okamoto, T. Oshima and M. Tanaka, Eigenfunctions of invariant differential operators on a symmetric space, to appear in Ann. of Math..
9) M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problem, Ann. of Math., 106 (1977), 145-200.
10) A. Korányi, Poisson integrals and boundary components of symmetric spaces, Invent. Math., 34 (1976), 19-35.
11) C.C. Moore, Compactifications of symmetric spaces, Amer. J. Math., 86 (1964), 201-218.
12) C. C. Moore, Compactifications of symmetric spaces, II, Amer. J. Math., 86 (1964), 358-378.
13) T. Nagano, Transformation groups on compact symmetric spaces, Trans. Amer. Math. Soc., 118 (1965), 428-453.
14) I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. of Math., 71 (1960), 77-110.
15) M. Takeuchi, On orbits in a compact hermitian symmetric space, Amer. J. Math., 90 (1968), 657-680.
16) G. Warner, Harmonic Analysis on Semi-Simple Lie Groups, I, Springer-Verlag, Berlin, Heidelberg and New York, 1972.

Right : [1] A. Borel, Les fonctions automorphes de plusieurs variables complexes, Bull. Soc. Math. France, 80 (1952), 167-182.
[2] A. Borel, Les espaces hermitiens symmétriques, Séminaire Bourbaki, 1952.
[3] N. Bourbaki, Eléments de Mathématique, Topologie Générale, Chapter 1, Herman, Paris, 1965.
[4] H. Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math., 77 (1963), 335-386.
[5] Harish-Chandra, Representations of semi-simple Lie groups, V, VI, Amer. J. Math., 78 (1956), 1-41, 564-628.
[6] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
[7] M. Ise, On canonical realizations of bounded symmetric domains as matrix-spaces, Nagoya Math. J., 42 (1971), 115-133.
[8] M. Kashiwara, A. Kowata, K. Minemura, K. Okamoto, T. Oshima and M. Tanaka, Eigenfunctions of invariant differential operators on a symmetric space, to appear in Ann. of Math..
[9] M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problem, Ann. of Math., 106 (1977), 145-200.
[10] A. Korányi, Poisson integrals and boundary components of symmetric spaces, Invent. Math., 34 (1976), 19-35.
[11] C. C. Moore, Compactifications of symmetric spaces, Amer. J. Math., 86 (1964), 201-218.
[12] C. C. Moore, Compactifications of symmetric spaces, II, Amer. J. Math., 86 (1964), 358-378.
[13] T. Nagano, Transformation groups on compact symmetric spaces, Trans. Amer. Math. Soc., 118 (1965), 428-453.
[14] I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. of Math., 71 (1960), 77-110.
[15] M. Takeuchi, On orbits in a compact hermitian symmetric space, Amer. J. Math., 90 (1968), 657-680.
[16] G. Warner, Harmonic Analysis on Semi-Simple Lie Groups, I, Springer-Verlag, Berlin, Heidelberg and New York, 1972.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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