The main result of the paper is a new Hartogs type extension theorem for generalized (N,k)-crosses with analytic singularities for separately holomorphic functions and for separately meromorphic functions. Our result is a simultaneous generalization of several known results, from the classical cross theorem, through the extension theorem with analytic singularities for generalized crosses, to the cross theorem with analytic singularities for meromorphic functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-7,
author = {Arkadiusz Lewandowski},
title = {An extension theorem with analytic singularities for generalized (N,k)-crosses},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {193-208},
zbl = {1246.32007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-7}
}
Arkadiusz Lewandowski. An extension theorem with analytic singularities for generalized (N,k)-crosses. Annales Polonici Mathematici, Tome 105 (2012) pp. 193-208. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-7/