Singular sets of separately analytic functions

• Autorzy: Zbigniew Błocki
• Języki publikacji: EN

Abstrakty

EN

We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.

Kategorie tematyczne

• 32A10: Holomorphic functions
• 31C10: Pluriharmonic and plurisubharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 2
• Strony: 219-225

Daty

wydano

1992

otrzymano

1991-05-30

Twórcy

autor

Zbigniew Błocki

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40.
• [2] J. Saint Raymond, Fonctions séparément analytiques, Ann. Inst. Fourier (Grenoble) 40 (1990), 79-101.
• [3] J. Siciak, Analyticity and separate analyticity of functions defined on lower dimensional subsets of $ℂ^n$, Zeszyty Nauk. Uniw. Jagielloń. Prace Mat. 13 (1969), 53-70.
• [4] J. Siciak, Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of $ℂ^n$, Ann. Polon. Math. 22 (1969), 145-171.
• [5] J. Siciak, Singular sets of separately analytic functions, Colloq. Math. 60/61 (1990), 281-290.