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Mathematics > Functional Analysis

Title: Multiplicative polynomial equations in infinitely many variables

Authors: Melvyn B. Nathanson, David A. Ross
(Submitted on 2 May 2024)
Abstract: This paper describes infinite sets of polynomial equations in infinitely many variables with the property that the existence of a solution or even an approximate solution for every finite subset of the equations implies the existence of a solution for the infinite set of equations.
Comments: 16 pages
Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA)
MSC classes: 12D10, 12E12, 15A06, 40H05, 46A45, 54B10, 54C30
Cite as: arXiv:2405.01766 [math.FA]
  (or arXiv:2405.01766v1 [math.FA] for this version)

Submission history

From: Melvyn B. Nathanson [view email]
[v1] Thu, 2 May 2024 22:24:41 GMT (12kb)
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