Analytic vector functions of several complex variables

Isao ONO

doi:10.2969/jmsj/00830216

Isao ONO

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1956 Volume 8 Issue 3 Pages 216-246

DOI https://doi.org/10.2969/jmsj/00830216

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Published: 1956 Received: August 13, 1955 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) S. Bochner and W. T. Martin, Several complex variables, Princeton (1948).
2) S. Ozaki and I. Ono, Analytic functions of several complex variables, Sci. Rep. Tokyo Bunrika D., Sect. A, 4 No. 99 (1952).
3) E. Peschl and F. Erwe, Über beschränkte Systeme von Funktionen, Math. Ann., Bd. 126, Heft 3 (1953).
4) S. Takahashi, Bounded analytic transformations (in Japanese), the "Sugaku", vol. 6, No. 4 (1955).
5) S. Takahashi, Univalent mappings in several complex variables, Ann. of Math., 53 (1951), pp. 464-471.
6) H. Cartan, Les fonc. de deux var. compl. etc., J. Math. IX, t. 10 (1931), or see H. Behnke und. P. Thullen, Theorie der Funktionen mehrerer komplexer Veränderlichen, Berlin (1934), pp. 42-43.
7) H. Cartan, Sur les groupes de transformations analytiques, Actualités Sci. Ind., Exposés Math. IX, No. 198 (1935), Paris, Hermann and Co., or see [1] pp. 48-50.
8) P. R. Garabedian, A Green's function in the thoery of several complex variables, Ann. of Math., 55 (1952), pp. 19-33.
9) M. Sugawara, On the general Schwarzian lemma, Proc. Imp. Acad. Tokyo, vol. 17, No. 10 (1941), pp. 483-488; K. Morita, Analytical characterization of displacements in general Poincaré space, the same Proc. as mentioned above, pp. 489-494; and S. Ozaki, S. Kashiwagi and T. Tsuboi, On the Schwarzian lemma in the matrix space, Sci. Rep. Tokyo Bunrika D., Sect. A 4, No. 105 (1952).
10) L. Bieberbach, Lehrbuch der Funktionenthorie, II, Berlin (1927), pp. 138-145.
11) S. Ozaki, S. Kashiwagi and T. Tsuboi, Some properties of matrix space, Sci. Rep. Tokyo Bunrika D., Sect. A 4, No. 95 (1952).
12) B. L. van der Waerden, Moderne Algebra, vol. II (1940), Berlin, pp. 11-17.
13) H. and J. Weyl, Meromorphic curves, Ann. of Math. 39 (1938).
14) L. V. Ahlfors, The theory of meromorphic curves, Acta. Soc. Fenn., Nova Ser. A. Tom. III, No. 4 (1941).

Right : [1] S. Bochner and W. T. Martin, Several complex variables, Princeton (1948).
[2] S. Ozaki and I. Ono, Analytic functions of several complex variables, Sci. Rep. Tokyo Bunrika D., Sect. A, 4 No. 99 (1952).
[3] E. Peschl and F. Erwe, Über beschränkte Systeme von Funktionen, Math. Ann., Bd. 126, Heft 3 (1953).
[4] S. Takahashi, Bounded analytic transformations (in Japanese), the “Sugaku”, vol. 6, No. 4 (1955).
[5] S. Takahashi, Univalent mappings in several complex variables, Ann. of Math., 53 (1951), pp. 464-471.
[6] H. Cartan, Les fonc. de deux var. compl. etc., J. Math. IX, t. 10 (1931), or see H. Behnke und. P. Thullen, Theorie der Funktionen mehrerer komplexer Veränderlichen, Berlin (1934), pp. 42-43.
[7] H. Cartan, Sur les groupes de transformations analytiques, Actualités Sci. Ind., Exposés Math. IX, No. 198 (1935), Paris, Hermann and Co., or see [1] pp. 48-50.
[8] P. R. Garabedian, A Green's function in the thoery of several complex variables, Ann. of Math., 55 (1952), pp. 19-33.
[9] M. Sugawara, On the general Schwarzian lemma, Proc. Imp. Acad. Tokyo, vol. 17, No. 10 (1941), pp. 483-488; K. Morita, Analytical characterization of displacements in general Poincaré space, the same Proc. as mentioned above, pp. 489-494; and S. Ozaki, S. Kashiwagi and T. Tsuboi, On the Schwarzian lemma in the matrix space, Sci. Rep. Tokyo Bunrika D., Sect. A 4, No. 105 (1952).
[10] L. Bieberbach, Lehrbuch der Funktionenthorie, II, Berlin (1927), pp. 138-145.
[11] S. Ozaki, S. Kashiwagi and T. Tsuboi, Some properties of matrix space, Sci. Rep. Tokyo Bunrika D., Sect. A 4, No. 95 (1952).
[12] B. L. van der Waerden, Moderne Algebra, vol. II (1940), Berlin, pp. 11-17.
[13] H. and J. Weyl, Meromorphic curves, Ann. of Math. 39 (1938).
[14] L. V. Ahlfors, The theory of meromorphic curves, Acta. Soc. Fenn., Nova Ser. A. Tom. III, No. 4 (1941).

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