Reinhardt domain

In mathematics, especially several complex variables, an open subset ${\displaystyle G}$ of ${\displaystyle \mathbf {C} ^{n}}$ is called Reinhardt domain if ${\displaystyle (z_{1},\dots ,z_{n})\in G}$ implies ${\displaystyle (e^{i\theta _{1}}z_{1},\dots ,e^{i\theta _{n}}z_{n})\in G}$ for all real numbers ${\displaystyle \theta _{1},\dots ,\theta _{n}}$. [Who is Reinhardt?]

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