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ArticleOriginal scientific text

Title

Singular sets of separately analytic functions

Authors 1

Affiliations

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

Abstract

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.

Bibliography

  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 ℂn, 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 ℂn, Ann. Polon. Math. 22 (1969), 145-171.
  5. J. Siciak, Singular sets of separately analytic functions, Colloq. Math. 60/61 (1990), 281-290.
Annales Polonici Mathematici
1991-1992/56/2
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Pages:
219-225
Main language of publication
English
Received
1991-05-30
Published
1992
Exact and natural sciences