Similarity principle of the generalized Cauchy-Riemann equations for several complex variables

Akira KOOHARA

doi:10.2969/jmsj/02320213

Akira KOOHARA

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 2 Pages 213-249

DOI https://doi.org/10.2969/jmsj/02320213

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Published: 1971 Received: January 09, 1968 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. Bers, Theory of Pseudo-analytic Functions, New York Univ., 1953.
2) L. Bers, Riemann surfaces, Lecture Notes, New York Univ., 1957-58.
3) L. Bers and L. Nirenberg, On a representation theorem for linear elliptic system with discontinuous coefficients and applications, Convegno Internazionale sulle Equazioni lineari alle derivate parziali, Rome, (1955), 111-140.
4) B. V. Boyarskii, Generalized solutions of system of differential equations of first order and elliptic type with discontinuous coefficients (in Russian), Mat. Sb., 43(83) (1957), 451-503.
5) S. S. Chern, Differentiable manifolds, Lecture Notes, Chicago Univ., 1959.
6) C. Chevalley, Theory of Lie Groups I, Princeton, 1946.
7) R. Courant and D. Hilbert, Methods of mathematical physics, Vol. II, 1961.
8) R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, 1965.
9) L. Hörmander, The Frobenius-Nirenberg theorem, Ark. Mat., 5 (1964), 425-432.
10) A. Koohara, Properties of Solutions of Overdetermined System (in Japanese), Reports of Himeji Inst. Tech., 19A (1966).
11) M. Kneser, Abhängigkeit von Funktionen, Math. Z., 54 (1951), 34-51.
12) A. Newlander and L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. of Math., 65 (1957), 391-404.
13) L. Nirenberg, A complex Frobenius theorem, Seminars on analytic functions I, Princeton, (1957), 172-189.
14) F. Sommer, Komplex-analytische Blätterung reeller Mannig-faltigkeiten im Cⁿ, Math. Ann., 136 (1958), 111-133; 137 (1959), 392-411.
15) I. N. Vekua, Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben, Math. Forschungsberichte II, Berlin, 1956.
16) I. N. Vekua, Generalized analytic functions, Pergamon, 1962.

Right : [1] L. Bers, Theory of Pseudo-analytic Functions, New York Univ., 1953.
[2] L. Bers, Riemann surfaces, Lecture Notes, New York Univ., 1957-58.
[3] L. Bers and L. Nirenberg, On a representation theorem for linear elliptic system with discontinuous coefficients and applications, Convegno Internazionale sulle Equazioni lineari alle derivate parziali, Rome, (1955), 111-140.
[4] B. V. Boyarskii, Generalized solutions of system of differential equations of first order and elliptic type with discontinuous coefficients (in Russian), Mat. Sb., 43 (83) (1957), 451-503.
[5] S. S. Chern, Differentiable manifolds, Lecture Notes, Chicago Univ., 1959.
[6] C. Chevalley, Theory of Lie Groups I, Princeton, 1946.
[7] R. Courant and D. Hilbert, Methods of mathematical physics, Vol. II, 1961.
[8] R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, 1965.
[9] L. Hörmander, The Frobenius-Nirenberg theorem, Ark. Mat., 5 (1964), 425-432.
[10] A. Koohara, Properties of Solutions of Overdetermined System (in Japanese), Reports of Himeji Inst. Tech., 19A (1966).
[11] M. Kneser, Abhängigkeit von Funktionen, Math. Z., 54 (1951), 34-51.
[12] A. Newlander and L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. of Math., 65 (1957), 391-404.
[13] L. Nirenberg, A complex Frobenius theorem, Seminars on analytic functions I, Princeton, (1957), 172-189.
[14] F. Sommer, Komplex-analytische Blätterung reeller Mannig-faltigkeiten im Cⁿ, Math. Ann., 136 (1958), 111-133; 137 (1959), 392-411.
[15] I. N. Vekua, Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben, Math. Forschungsberichte II, Berlin, 1956.
[16] I. N. Vekua, Generalized analytic functions, Pergamon, 1962.

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