Exponential analytic sets
type: Item
instance of: scholarly article
title: Exponential analytic sets
zbMATH Open document ID: 0911.32008
DOI: 10.1007/BF02466013
publication date: 1998-10-11T00:00:00Z
review text: The paper presents results of the algebraic dimension theory for exponential analytic sets, which, by definition are the set of common zeros of a finite number of entire functions each of which being of the form \[ \sum c_\lambda\exp\langle z,\lambda\rangle, \] where \(c_\lambda\in\mathbb{C}\) and \(\lambda\) runs over a finite subset \(\Lambda\) of the exponent space (i.e., the conjugate space \(\mathbb{C}^{n*})\).
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 32B15
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13J07
zbMATH DE Number: 1179576
zbMATH Keywords: exponential sum
zbMATH Keywords: Newton polygon
zbMATH Keywords: algebraic dimension
zbMATH Keywords: exponential analytic sets
author: B. Ya. Kazarnovskii
MaRDI profile type: Publication
cites work: Mean Motion
cites work: Sur une transformation des fonctionnelles analytiques et ses applications aux fonctions entières de plusieurs variables
cites work: On quotients of exponential polynomials
cites work: Q3881113
cites work: Action of the complex Monge-Ampère operator on piecewise-linear functions and exponential tropical varieties
cites work: Q3961135
full work available at URL: https://doi.org/10.1007/bf02466013
OpenAlex ID: W1970361094
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1179576