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

Annales Polonici Mathematici (2012)

- Volume: 103, Issue: 2, page 193-208
- ISSN: 0066-2216

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topArkadiusz 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 -

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