PORTUGALIAE MATHEMATICA Vol. 52, No. 1, pp. 6194 (1995) 

On the Indicator of Growth of Entire Functions of Exponential Type in Infinite Dimensional Spaces and the Levi Problem in Infinite Dimensional Projective SpacesMasaru NishiharaDepartment of Mathematics, Fukuoka Institute of Technology,Wajiro, Fukuoka 81102  JAPAN Abstract: Let $E$ be a separable complex Fréchet space with the bounded approximation property, or a complex DFNspace and $\bfc{P}(E)$ be the complex projective space induced from $E$. Then we solve affirmatively the Levi problem in a Riemann domain over the projective space $\bfc{P}(E)$. By using this result, we give the infinite dimensional version of the indicator theorem of entire functions of exponential type on $\bfc{C}^{n}$. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1995 Sociedade Portuguesa de Matemática
