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References
H. Alexander: Projective capacity, Conference on Several Complex Variables, Ann. Math. Studies 100, Princeton University Press, Princeton 1981.
_____: A note on projective capacity (manuscript).
E. Bedford and B.A. Taylor: Potential theoretic properties of plurisubharmonic functions, Acta Math., to appear.
J.P. Demailly: Formulas de Jensen en plusieurs variables et applications arithmétiques (manuscript).
L. Gruman: Ensembles exceptionnel pour les applications holomorphic dans ℂn, Seminaire Lelong-Skoda 1981, to appear.
W. Hayman: Meromorphic Functions, Oxford University Press, Oxford 1968.
G.M. Henkin: Solutions with estimates of the H. Lewy and Poincaré-Lelong equations. Construction of functions in the Nevanlinna class with prescribed zeros in strictly pseudoconvex domains, Dokl. Akad. Nauk. SSSR 225, 771–774 (1975).
J.R. King: The currents defined by analytic varieties, Acta Math. 127, 185–220 (1971).
F. Leja: Sur les suites des polynômes bornés presque partout sur la frontiere l'un domaine, Math. Ann. 108, 517–524 (1933).
R. Molzon, B. Shiffman, and N. Sibony: Average growth estimates for hyperplane sections of entire analytic sets, Math. Ann. 257, 43–59 (1981).
R. Molzon: Blaschke conditions for holomorphic mappings (manuscript).
_____: Potential theory on ℙnℂ: Applications to characterization of pluripolar sets and growth of analytic varieties (manuscript).
R. Nevanlinna: Analytic Functions, Springer-Verlag, Berlin, Heidelberg, New York 1970.
W. Rudin: Function Theory in the Unit Ball in ℂn, Springer-Verlag, Berlin, Heidelberg, New York 1980.
H. Skoda: Valeurs au bord pour les solutions de l'operateur d″, et caracterisation des zéros des fonctions de la classe de Nevanlinna, Bull. Soc. Math. France 104, 225–299 (1976).
_____: Solution à croissance du second problème de Cousin dans ℂn, Ann. de L'Institut Fourier 21, 11–23 (1971).
J. Siciak: Extremal plurisubharmonic functions in ℂn, Ann. Polonici Math. 39, 175–211 (1981).
_____: Extremal plurisubharmonic functions and capacities in ℂn (manuscript).
J. Siciak: On some extremal functions and their applications in the theory of analytic functions of several complex variables, Trans. Amer. Math. Soc. 105, 322–357, (1962).
E. Stein: Boundary Behavior of Holomorphic Functions of Several Complex Variables, Princeton University Press, Princeton 1972.
W. Stoll: Value Distribution on Parabolic Spaces, Springer-Verlag, Berlin, Heidelberg, New York 1977.
M. Tsuji: Potential Theory in Modern Function Theory, Maruzen Co., Tokyo 1958.
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Molzon, R.E. (1983). Potential theory in nevanlinna theory and analytic geometry. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073377
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DOI: https://doi.org/10.1007/BFb0073377
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