This article is cited in 2 papers

Boundedness conditions for entire functions of exponential type interior to the hyperoctant $\mathbf R_+^n$

V. N. Logvinenko


Abstract: Let $f(z)$ be an entire function on $\mathbf C^n$ of exponential type. This article contains an investigation of when the boundedness of $f$ on a subset dense in some sense in the positive hyperoctant $\mathbf R_+^n$ implies its boundedness on interior cones in $\mathbf R_+^n$.
Bibliography: 13 titles.

UDC: 517.55

MSC: Primary 32A15; Secondary 32A30, 30D15

Received: 06.07.1987

 English version: Mathematics of the USSR-Izvestiya, 1990, 34:3, 663–676

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