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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2008 Volume 83, Issue 4, Pages 483–492 (Mi mzm3861)
This article is cited in 1 paper

On the Weighted Space of Entire Functions in $\mathbb C^n$

N. T. Akhtyamov

Samara State Academy of Railway, department in Ufa

Abstract: In terms of the Laplace transform, we give a description of the dual space to the weighted space of entire functions in $\mathbb C^n$ for the case in which the weight functions have polynomial growth.

Keywords: entire function, weighted space, Laplace transform, Young–Fenchel transform, convex function, Banach space, plurisubharmonic function.

UDC: 517.982.274

Received: 30.03.2007
Revised: 10.07.2007

DOI: 10.4213/mzm3861


 English version: Mathematical Notes, 2008, 83:4, 445–453

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© Steklov Math. Inst. of RAS, 2024