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.
@article{bwmeta1.element.bwnjournal-article-apmv56z2p219bwm,
author = {Zbigniew B\l ocki},
title = {Singular sets of separately analytic functions},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {219-225},
zbl = {0767.31008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p219bwm}
}
Zbigniew Błocki. Singular sets of separately analytic functions. Annales Polonici Mathematici, Tome 57 (1992) pp. 219-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p219bwm/
[000] [1] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40. | Zbl 0547.32012
[001] [2] J. Saint Raymond, Fonctions séparément analytiques, Ann. Inst. Fourier (Grenoble) 40 (1990), 79-101. | Zbl 0682.26009
[002] [3] J. Siciak, Analyticity and separate analyticity of functions defined on lower dimensional subsets of , Zeszyty Nauk. Uniw. Jagielloń. Prace Mat. 13 (1969), 53-70. | Zbl 0285.32011
[003] [4] J. Siciak, Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of , Ann. Polon. Math. 22 (1969), 145-171. | Zbl 0185.15202
[004] [5] J. Siciak, Singular sets of separately analytic functions, Colloq. Math. 60/61 (1990), 281-290. | Zbl 0727.32001