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On some properties of pseudo-conformal images of circular domains

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Bibliography

  • [B.1] Bergman, S.: Über die Existenz von Repräsentantenbereichen,Math. Ann.,102 (1929), 430–446.

    Article  Google Scholar 

  • [B.2] —: Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande,J. Reine Angew. Math.,169 (1933), 1–42 and172 (1934), 89–128.

    Google Scholar 

  • [B.3] —: Zur Theorie von pseudokonformen Abbildungen,Recueil. Math., nouv. ser.,1(43), (1936), 79–96.

    Google Scholar 

  • [B.4] Bergman, S.: The kernel function and conformal mapping,Math. Surveys,5 (1950) and (1970).

  • [B.5] —: Distinguished sets of invariants in the theory of pseudo-conformal transformations,J. d'Analyse Math.,13 (1964), 317–353.

    MATH  MathSciNet  Google Scholar 

  • [B.6] —: Interior distinguished points in the theory of functions of two complex variables,J. d'Analyse Math.,18 (1961), 7–21.

    Article  MathSciNet  Google Scholar 

  • [B.7] —: On pseudo-conformal images of circular domains,J. d'Analyse Math.,22 (1969), 269–285.

    MATH  MathSciNet  Google Scholar 

  • [B.C.1] Bergman S., and Chalmers, B.: A procedure for conformal mapping of triply-connected domains,Math. Comp.,21 (1967), 527–542.

    Article  MATH  MathSciNet  Google Scholar 

  • [B.S.1] Bergman, S., and Schiffer, M.: Kernel functions and conformal mapping,Compositio Math.,8 (1951), 205–249.

    MATH  MathSciNet  Google Scholar 

  • [F.1] Fuks, B.: Special chapters of the theory of analytic functions of several complex variables, Moscow (1963), English Translation AMS (1966).

  • [H.1] Hahn, K.T.: Minimum problems of Plateau type in the Bergman space,Pacific J. Math.,14 (1964), 943–953.

    MATH  MathSciNet  Google Scholar 

  • [L.1] Lichnerowicz, A.: Variétés complexes et tenseur de Bergman,Ann. Inst. Fourier (Grenoble),15 (1965), 345–408.

    MATH  MathSciNet  Google Scholar 

  • [L.2] Lu-Qi-Keng: On Kaehler manifolds with constant curvature,Acta Math. Sinica,16 (1966), 269–281 (Transl. AMS, 283–298).

    MathSciNet  Google Scholar 

  • [R.1] Ramadanov, I.: Sur une proprieté de la fonction de Bergman,Comptes rendus de l'Acad. bulgare des Sciences,20 (1967), 759–762.

    MATH  MathSciNet  Google Scholar 

  • [S.1] Skwarczynski, M.: The invariant distance in the theory of pseudo-conformal transformations and the Lu Qi-Keng conjecture,Proc. Amer. Math. Soc.,20 (1969), 305–310.

    Article  MathSciNet  Google Scholar 

  • [S.2] Springer, G.: Pseudo-conformal transformations onto circular domains,Duke Math. J.,18 (1951), 411–424.

    Article  MATH  MathSciNet  Google Scholar 

  • [W.1] Welke, H.: Über die analytischen Abbildungen von Kreiskörpern und Hartogsschen Bereichen,Math. Ann.,103 (1930), 437–449.

    Article  MathSciNet  MATH  Google Scholar 

  • [Z.1] Zarankiewicz, K.: Über ein numerisches Verfahren zur konformen Abbildung zweifach zusammenhängender Gebiete,Z. Angew. Math. Mech.,14 (1934), 97–104.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, California, U.S.A.

    Stefan Bergman

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  1. Stefan Bergman
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This work was supported in part by contract AEC 326-P 22 at Stanford University.

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Bergman, S. On some properties of pseudo-conformal images of circular domains. J. Anal. Math. 23, 39–51 (1970). https://doi.org/10.1007/BF02795487

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