An extension theorem with analytic singularities for generalized (N,k)-crosses

Arkadiusz Lewandowski. "An extension theorem with analytic singularities for generalized (N,k)-crosses." Annales Polonici Mathematici 103.2 (2012): 193-208. <http://eudml.org/doc/280568>.

@article{ArkadiuszLewandowski2012,
abstract = {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.},
author = {Arkadiusz Lewandowski},
journal = {Annales Polonici Mathematici},
keywords = {generalized -crosses; separately meromorphic functions; separately holomorphic functions},
language = {eng},
number = {2},
pages = {193-208},
title = {An extension theorem with analytic singularities for generalized (N,k)-crosses},
url = {http://eudml.org/doc/280568},
volume = {103},
year = {2012},
}

TY - JOUR
AU - Arkadiusz Lewandowski
TI - An extension theorem with analytic singularities for generalized (N,k)-crosses
JO - Annales Polonici Mathematici
PY - 2012
VL - 103
IS - 2
SP - 193
EP - 208
AB - 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.
LA - eng
KW - generalized -crosses; separately meromorphic functions; separately holomorphic functions
UR - http://eudml.org/doc/280568
ER -