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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2001 Volume 8, Number 4, Pages 351–365 (Mi jmag351)

Existence of a holomorphic function with given indicator in the described variable

P. Agranovich

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov

Abstract: We establish characteristic properties of indicators of holomorphic functions of proximate order in a distinguished variable in domains of the form $G \times Y$ where $G$ is a relatively compact pseudoconvex set in $\mathbf C^n$ and $Y$ is an angle in $\mathbf C$.

MSC: 32A10, 32A22

Received: 23.04.2001

Language: English



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