On Bochner's Almost-periodicity criterion

2022/12/31 by Philippe Cieutat, Cieutat, Philippe
Mathematics · Physics and Astronomy · #35B10 #35B40 #42A75 #47H20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2301.00263

openalex publication_date 2022/12/31 · openalex created_date 2023/01/26 · openalex updated_date 2026/07/28

Abstract

We give an extension of Bochner's criterion for the almost periodic functions. By using our main result, we extend two results of A. Haraux. The first is a generalization of Bochner's criterion which is useful for periodic dynamical systems. The second is a characterization of periodic functions in term of Bochner's criterion.

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