Colombeau algebras of asymptotically almost automorphic generalized functions: Properties and applications

Abstract In this manuscript, we introduce a new class of Colombeau algebras based on asymptotic almost automorphic functions and we prove some important properties of asymptotic almost automorphic generalized functions. We also illustrate all this in examples as an application.

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Publication Details

Journal
Analysis
Published
2024-12-12
DOI
https://doi.org/10.1515/anly-2023-0030
Primary Topic
Mathematical and Theoretical Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Colombeau algebras of asymptotically almost automorphic generalized functions: Properties and applications

Abdellah Taqbibt, Saïd Melliani, Mohamed Chaib, M’hamed El Omari
Analysis
Mathematical and Theoretical Analysis
article

Colombeau algebras of asymptotically almost automorphic generalized functions: Properties and applications

Abdellah Taqbibt, Saïd Melliani, Mohamed Chaib, M’hamed El Omari
article en

Abstract

Abstract In this manuscript, we introduce a new class of Colombeau algebras based on asymptotic almost automorphic functions and we prove some important properties of asymptotic almost automorphic generalized functions. We also illustrate all this in examples as an application.

AnalysisVol. 45(2)
Université Sultan Moulay Slimane (MA)
Openalex Percentile: Top 62%
Mathematical and Theoretical Analysis
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