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Let X be a Riemann domain over . If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set such that every slice of X with a∉ P is a region of holomorphy with respect to the family .
Marek Jarnicki, and Peter Pflug. "A remark on separate holomorphy." Studia Mathematica 174.3 (2006): 309-317. <http://eudml.org/doc/284439>.
@article{MarekJarnicki2006, abstract = {Let X be a Riemann domain over $ℂ^\{k\} × ℂ^\{ℓ\}$. If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set $P ⊂ ℂ^\{k\}$ such that every slice $X_\{a\}$ of X with a∉ P is a region of holomorphy with respect to the family $\{f|_\{X_\{a\}\}: f ∈ ℱ\}$.}, author = {Marek Jarnicki, Peter Pflug}, journal = {Studia Mathematica}, language = {eng}, number = {3}, pages = {309-317}, title = {A remark on separate holomorphy}, url = {http://eudml.org/doc/284439}, volume = {174}, year = {2006}, }
TY - JOUR AU - Marek Jarnicki AU - Peter Pflug TI - A remark on separate holomorphy JO - Studia Mathematica PY - 2006 VL - 174 IS - 3 SP - 309 EP - 317 AB - Let X be a Riemann domain over $ℂ^{k} × ℂ^{ℓ}$. If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set $P ⊂ ℂ^{k}$ such that every slice $X_{a}$ of X with a∉ P is a region of holomorphy with respect to the family ${f|_{X_{a}}: f ∈ ℱ}$. LA - eng UR - http://eudml.org/doc/284439 ER -