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DC Field | Value | Language |
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dc.contributor.author | Samer , Boudjellal , Tobib Nasreddine | - |
dc.date.accessioned | 2024-10-06T10:11:30Z | - |
dc.date.available | 2024-10-06T10:11:30Z | - |
dc.date.issued | 2024-06 | - |
dc.identifier.citation | Fundamental Mathematics | en_US |
dc.identifier.uri | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/3853 | - |
dc.description | Our objective in this thesis is to define and study a new transform called the Hankel- Stockwell transform. We will prove all the harmonic analysis associated to this transform, in particular a Plancherel’s formula, an hogonality property and a reconstruction formula. Another main purpose of this thesis is to define the ocalization operators and to study their boundedness and compactness, we will also show that these operators belong to the so-called Schatten-von Neumann class . | en_US |
dc.description.abstract | L’objectif de cette mémoire est de définir et d’étudier une nouvelle transformation appelée transformation de Hankel-Stockwell. On établit toute l’analyse harmonique associée à cette transformation, en particulier on démontre une formule de Plancherel, une propriété d’orthogonalité et une formule de reconstruction. Un autre objectif de cette mémoire est de définir les opérateurs de localisation, d’étudier leur bornitude et leur ompacité. On montre également que ces opérateurs appartiennent à la classe de Schatten-von Neumann. | en_US |
dc.language.iso | en | en_US |
dc.publisher | university center of abdalhafid boussouf - MILA | en_US |
dc.subject | Transformation de Hankel, Transformation de Hankel-Stockwell , opérateurs de localisation. | en_US |
dc.subject | Hankel transform, Hankel-Stockwell transform, Localization operators. | en_US |
dc.title | Time-frequency analysis associated with the Hankel-Stockwell transform. | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Mathematics |
Files in This Item:
File | Description | Size | Format | |
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Time-frequency analysis associated with the Hankel-Stockwell transform.pdf | 1,12 MB | Adobe PDF | View/Open |
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