The Integration of Stepanov Remotely Almost Periodic Functions

Fuente: arXiv
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1. Verfasser: Cheban, David
Format: Preprint
Veröffentlicht: 2026
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_version_ 1866912951922851840
author Cheban, David
author_facet Cheban, David
contents The aim of this paper is to study the problem of the integration of Stepanov remotely almost periodic functions. We prove that every compact primitive of a Stepanov remotely almost periodic function with a minimal $ω$-limit set is remotely almost periodic. This fact proves the conjecture previously formulated by the author.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07503
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Integration of Stepanov Remotely Almost Periodic Functions
Cheban, David
Functional Analysis
ANS: 34C27, 37B20, 37B55
The aim of this paper is to study the problem of the integration of Stepanov remotely almost periodic functions. We prove that every compact primitive of a Stepanov remotely almost periodic function with a minimal $ω$-limit set is remotely almost periodic. This fact proves the conjecture previously formulated by the author.
title The Integration of Stepanov Remotely Almost Periodic Functions
topic Functional Analysis
ANS: 34C27, 37B20, 37B55
url https://arxiv.org/abs/2603.07503