Hierarchy of almost-periodic function spaces
The various types of definitions of almost-periodic functions are examined and compared in order to clarify the hierarchy of almost-periodic function spaces. Apart from the standard definitions, we introduce also new classes and comment some other, less traditional, definitions, to make a picture a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2006-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(2)/121-188.pdf |
| _version_ | 1828313989011996672 |
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| author | J. Andres A. M. Bersani |
| author_facet | J. Andres A. M. Bersani |
| author_sort | J. Andres |
| collection | DOAJ |
| description | The various types of definitions of almost-periodic functions are examined and compared in order to clarify the hierarchy of almost-periodic function spaces.
Apart from the standard definitions, we introduce also new classes and comment some other, less traditional, definitions, to make a picture as much as possible complete. Several new results concerning horizontal hierarchies are proved. Illustrating examples and counter-examples are shown. |
| first_indexed | 2024-04-13T16:38:25Z |
| format | Article |
| id | doaj.art-b462a072f5474bb79cdbb2df833cfe64 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-04-13T16:38:25Z |
| publishDate | 2006-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-b462a072f5474bb79cdbb2df833cfe642022-12-22T02:39:21ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502006-01-01262121188Hierarchy of almost-periodic function spacesJ. Andres0A. M. Bersani1Palacký UniversityUniversità di Roma La SapienzaThe various types of definitions of almost-periodic functions are examined and compared in order to clarify the hierarchy of almost-periodic function spaces. Apart from the standard definitions, we introduce also new classes and comment some other, less traditional, definitions, to make a picture as much as possible complete. Several new results concerning horizontal hierarchies are proved. Illustrating examples and counter-examples are shown.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(2)/121-188.pdfalmost-periodic functionsstepanov weyl and besicovitch classesbochner transformapproximation by trigonometric polynomialsbohr compactificationmarcinkiewicz spaceshierarchy |
| spellingShingle | J. Andres A. M. Bersani Hierarchy of almost-periodic function spaces Rendiconti di Matematica e delle Sue Applicazioni almost-periodic functions stepanov weyl and besicovitch classes bochner transform approximation by trigonometric polynomials bohr compactification marcinkiewicz spaces hierarchy |
| title | Hierarchy of almost-periodic function spaces |
| title_full | Hierarchy of almost-periodic function spaces |
| title_fullStr | Hierarchy of almost-periodic function spaces |
| title_full_unstemmed | Hierarchy of almost-periodic function spaces |
| title_short | Hierarchy of almost-periodic function spaces |
| title_sort | hierarchy of almost periodic function spaces |
| topic | almost-periodic functions stepanov weyl and besicovitch classes bochner transform approximation by trigonometric polynomials bohr compactification marcinkiewicz spaces hierarchy |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(2)/121-188.pdf |
| work_keys_str_mv | AT jandres hierarchyofalmostperiodicfunctionspaces AT ambersani hierarchyofalmostperiodicfunctionspaces |