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References
E. Bedford and B.A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1–40.
L.Bieberbach, Analytische Fortsetzung, Springer Verlag 1955.
J. Globevnik and E.L. Stout, Highly noncontinuable functions on convex domains, Bull.Sci.Math. 104 (1980), 417–434.
A.A. Gonĉar, A local criterion for single-valuedness of analytic functions, Mat.Sb. 89 (1972), 148–164.
—, A local criterion for single-valuedness of analytic functions of several variables, ibidem 93 (1974), 296–313.
M. Hervé, Several complex variables. Local theory. Bombay 1963.
W.Pleśniak, Quasianalytic functions in the sense of Bernstein, Dissertations Mathematicae, no 197, PWN, Warszawa 1977, pp.1–70.
W.Rudin Function theory in the unit ball of Cn, Springer Verlag 1980.
A. Sadullaev, An estimate of polynomials on analytic sets, Izv. Akad. Nauk SSSR 46 (1982), 524–534.
J. Siciak, Some extremal functions and their applications ..., Trans. Amer. Math. Soc. 105 (1962), 322–357.
—, Extremal plurisubharmonic functions in Cn, Ann.Pol.Math. 39 (1981), 175–211 (also in Proceed. of the First Finnish-Polish Summer School in Complex Analysis at Podlesice, Łódź 1977, 115–152; preliminary lecture notes).
—, Extremal plurisubharmonic functions and capacities in Cn, Sophia Kokyuroku in Mathematics, no 14, Sophia University, Tokyo 1982, pp. 1–97.
—, Highly noncontinuable functions on polynomially convex sets, Universitatis Iagellonicae Acta Mathematica (to appear).
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Siciak, J. (1984). Highly noncontinuable functions on polynomially convex sets. In: Amar, E., Gay, R., Van Thanh, N. (eds) Analyse Complexe. Lecture Notes in Mathematics, vol 1094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099161
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DOI: https://doi.org/10.1007/BFb0099161
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