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Factorization theorems for dominated polynomials

2008/12/07 by Geraldo Botelho, Daniel Pellegrino, Botelho, Geraldo +3
Mathematics · #46G25 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46G25

paper · pdf · doi:10.48550/arxiv.0812.1401

arxiv created 2008/12/07 · openalex publication_date 2008/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove that the factorization theorem for dominated polynomials previously proved by the authors is equivalent to an alternative factorization scheme that uses classical linear techniques and a linearization process. However, this alternative scheme is shown not to be satisfactory until the equivalence is proved.

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