A Resonance Theorem for a Family of Translation Invariant Differentiation Bases

2015/01/06 by Giorgi Oniani, Giorgi G. Oniani, Oniani, Giorgi G. · 1 citation
Computer Science · Mathematics · #28A15 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Control Systems and Analysis #math.AP #msc:28A15

paper · pdf · doi:10.48550/arxiv.1501.01230

arxiv created 2015/01/06 · openalex publication_date 2015/01/06 · arxiv updated 2015/01/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

A resonance theorem providing existence of functions that are counterexamples for all members of a given family of translation invariant differentiation bases is proved. Applications of the theorem to Zygmund problem on a choice of coordinate axes are given.

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• On Sets of Singular Rotations for Translation Invariant Bases

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