Almost periodic and quasi-periodic functions. A brief survey and some applications
In the present work, we study almost-periodic and quasi-periodic functions, their main properties and some related results. We also present almost periodic functions with parameters, which we adapt to the quasi-periodic framework. We then show that these spaces are isomorphic to other spaces of almo...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2024-02-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | https://www.utgjiu.ro/math/sma/v19/p19_05.pdf |
| _version_ | 1827345177117720576 |
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| author | Dhaou Lassoued |
| author_facet | Dhaou Lassoued |
| author_sort | Dhaou Lassoued |
| collection | DOAJ |
| description | In the present work, we study almost-periodic and quasi-periodic functions, their main properties and some related results. We also present almost periodic functions with parameters, which we adapt to the quasi-periodic framework. We then show that these spaces are isomorphic to other spaces of almost periodic functions (or quasi-periodic functions) with values in Banach spaces. We shall study in particular the superposition operators between these spaces. We introduce then a Sobolev-like space of almost periodic functions and analyze its main properties. We illustrate by some applications especially on convolution operation and almost periodic solutions of linear differential equations |
| first_indexed | 2024-03-07T23:01:45Z |
| format | Article |
| id | doaj.art-083c6cefb7ed49c3b68dfcfd532b09b0 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-03-07T23:01:45Z |
| publishDate | 2024-02-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-083c6cefb7ed49c3b68dfcfd532b09b02024-02-22T12:00:20ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982024-02-0119 (2024)79107Almost periodic and quasi-periodic functions. A brief survey and some applicationsDhaou Lassoued 0University of Gabès, Faculty of Sciences of Gabè Department of Mathematics, Mathematics and Applications Laboratory LR17ES11 Tunisia.In the present work, we study almost-periodic and quasi-periodic functions, their main properties and some related results. We also present almost periodic functions with parameters, which we adapt to the quasi-periodic framework. We then show that these spaces are isomorphic to other spaces of almost periodic functions (or quasi-periodic functions) with values in Banach spaces. We shall study in particular the superposition operators between these spaces. We introduce then a Sobolev-like space of almost periodic functions and analyze its main properties. We illustrate by some applications especially on convolution operation and almost periodic solutions of linear differential equations https://www.utgjiu.ro/math/sma/v19/p19_05.pdfalmost periodic functionssobolev-like spacenemytskii operators |
| spellingShingle | Dhaou Lassoued Almost periodic and quasi-periodic functions. A brief survey and some applications Surveys in Mathematics and its Applications almost periodic functions sobolev-like space nemytskii operators |
| title | Almost periodic and quasi-periodic functions. A brief survey and some applications |
| title_full | Almost periodic and quasi-periodic functions. A brief survey and some applications |
| title_fullStr | Almost periodic and quasi-periodic functions. A brief survey and some applications |
| title_full_unstemmed | Almost periodic and quasi-periodic functions. A brief survey and some applications |
| title_short | Almost periodic and quasi-periodic functions. A brief survey and some applications |
| title_sort | almost periodic and quasi periodic functions a brief survey and some applications |
| topic | almost periodic functions sobolev-like space nemytskii operators |
| url | https://www.utgjiu.ro/math/sma/v19/p19_05.pdf |
| work_keys_str_mv | AT dhaoulassoued almostperiodicandquasiperiodicfunctionsabriefsurveyandsomeapplications |