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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1997 Volume 247, Pages 210–236 (Mi znsl572)

This article is cited in 17 papers

Almost periodic distributions in a tube domain

L. I. Ronkin

Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences

Abstract: A notion of an almost periodic (a.p.) distribution in a tube domain $T_G$ in $C^n$ is introduced. Properties of such distributions are investigated, some of them are similar to the properties of ordinary a.p. functions on the axis. In these terms the notion of an a.p. divisor in $T_G$ is introduced, and conditions for the existence of density of such a divisor in $T_{G'}$, $G'\Subset G$, are found.

UDC: 517.55

Received: 02.12.1996


 English version:
Journal of Mathematical Sciences (New York), 2000, 101:3, 3172–3189

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