Singular sets of separately analytic functions

Zbigniew Błocki

Annales Polonici Mathematici (1992)

  • Volume: 56, Issue: 2, page 219-225
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Zbigniew Błocki. "Singular sets of separately analytic functions." Annales Polonici Mathematici 56.2 (1992): 219-225. <http://eudml.org/doc/262265>.

@article{ZbigniewBłocki1992,
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.},
author = {Zbigniew Błocki},
journal = {Annales Polonici Mathematici},
keywords = {-separately analytic function},
language = {eng},
number = {2},
pages = {219-225},
title = {Singular sets of separately analytic functions},
url = {http://eudml.org/doc/262265},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Zbigniew Błocki
TI - Singular sets of separately analytic functions
JO - Annales Polonici Mathematici
PY - 1992
VL - 56
IS - 2
SP - 219
EP - 225
AB - 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.
LA - eng
KW - -separately analytic function
UR - http://eudml.org/doc/262265
ER -

References

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  1. [1] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40. Zbl0547.32012
  2. [2] J. Saint Raymond, Fonctions séparément analytiques, Ann. Inst. Fourier (Grenoble) 40 (1990), 79-101. Zbl0682.26009
  3. [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. Zbl0285.32011
  4. [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. Zbl0185.15202
  5. [5] J. Siciak, Singular sets of separately analytic functions, Colloq. Math. 60/61 (1990), 281-290. Zbl0727.32001

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