The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions
We give the extension of the classical Hausdorff-Young theorem for periodic functions to the space Bq ap(IR,IH) of the Besicovitch almost periodic functions with values in a complex Hilbert space.
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
1995-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(1)/5-24.pdf |
| _version_ | 1827941364264861696 |
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| author | A.M. BERSANI |
| author_facet | A.M. BERSANI |
| author_sort | A.M. BERSANI |
| collection | DOAJ |
| description | We give the extension of the classical Hausdorff-Young theorem for
periodic functions to the space Bq ap(IR,IH) of the Besicovitch almost periodic functions with values in a complex Hilbert space.
|
| first_indexed | 2024-03-13T09:37:08Z |
| format | Article |
| id | doaj.art-1fe6c5d8c932430588d040fab9f8fd71 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T09:37:08Z |
| publishDate | 1995-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-1fe6c5d8c932430588d040fab9f8fd712023-05-25T09:01:51ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501995-01-01151524The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functionsA.M. BERSANI 0Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate – Università di Roma “La Sapienza” – Via A. Scarpa, 16 – 00161 Roma – ItaliaWe give the extension of the classical Hausdorff-Young theorem for periodic functions to the space Bq ap(IR,IH) of the Besicovitch almost periodic functions with values in a complex Hilbert space. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(1)/5-24.pdfalmost periodic functionsbohr transformfourier series |
| spellingShingle | A.M. BERSANI The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions Rendiconti di Matematica e delle Sue Applicazioni almost periodic functions bohr transform fourier series |
| title | The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions |
| title_full | The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions |
| title_fullStr | The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions |
| title_full_unstemmed | The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions |
| title_short | The Hausdorff-Young theorem for Besicovitch spaces of vector-valued almost periodic functions |
| title_sort | hausdorff young theorem for besicovitch spaces of vector valued almost periodic functions |
| topic | almost periodic functions bohr transform fourier series |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(1)/5-24.pdf |
| work_keys_str_mv | AT ambersani thehausdorffyoungtheoremforbesicovitchspacesofvectorvaluedalmostperiodicfunctions AT ambersani hausdorffyoungtheoremforbesicovitchspacesofvectorvaluedalmostperiodicfunctions |