Cartan-Thullen theorem is a basic one in the theory of analytic functions of several complex variables. It states that for any open set *U* of *{\mathbb C}^k*, the following conditions are equivalent: (a) *U* is a domain of existence, (b) *U* is a domain of holomorphy and (c) *U* is... Show more

July 25, 2019

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Cartan-Thullen theorem for a $\mathbb C^n$-holomorphic function and a related problem

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