Pseudoholomorphic functions with nonantiholomorphic characteristics
HTML articles powered by AMS MathViewer
- by Akira Koohara PDF
- Proc. Amer. Math. Soc. 84 (1982), 217-224 Request permission
Abstract:
Let $\kappa (z) \in {C^\infty }(\Omega )$ and $\left \| \kappa \right \| < 1$. Necessary and sufficient conditions for the system of equations $\partial \bar f = \kappa (z)\partial f$ to be locally plentiful are given, and under them a representation of $\kappa$ also is given.References
- L. Bers and L. Nirenberg, On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications, Convegno Internazionale sulle Equazioni Lineari alle Derivate Parziali, Trieste, 1954, Edizioni Cremonese, Roma, 1955, pp. 111–140. MR 0076981
- Sin Hitotumatu, On quasi-conformal functions of several complex variables, J. Math. Mech. 8 (1959), 77–94. MR 0102608, DOI 10.1512/iumj.1959.8.58005
- Akira Koohara, Similarity principle of the generalized Cauchy-Riemann equations for several complex variables, J. Math. Soc. Japan 23 (1971), 213–249. MR 374468, DOI 10.2969/jmsj/02320213
- Akira Koohara, Representation of pseudo-holomorphic functions of several complex variables, J. Math. Soc. Japan 28 (1976), no. 2, 257–277. MR 427673, DOI 10.2969/jmsj/02820257
- Lê Hùng So’n, Fortsetzungssätze vom Hartogsschen Typ für verallgemeinerte analytische Funktionen mehrerer komplexer Variabler, Math. Nachr. 93 (1979), 177–186 (German). MR 579852, DOI 10.1002/mana.19790930115 G. A. Magomedov and V. P. Paramodov, Generalized analytic functions of several variables, Math. USSR-Sb. 35 (1979), 181-205. L. G. Mihailov, On compatibility conditions and the manifold of solutions of the generalized Cauchy-Riemann system in several variables, Soviet Math. Dokl. 20 (1979), 1430-1435.
- W. Tutschke, Partielle komplexe Differentialgleichungen in einer und in mehreren komplexen Variablen, Hochschulbücher für Mathematik, Band 82, VEB Deutscher Verlag der Wissenschaften, Berlin, 1977 (German). Mit losen Berichtigungen. MR 0481388
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 217-224
- MSC: Primary 32A99
- DOI: https://doi.org/10.1090/S0002-9939-1982-0637172-9
- MathSciNet review: 637172