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pro vyhledávání: '"Ahmed Souabni"'
Autor:
Mourad, Boulsane, Ahmed, Souabni
In this paper, we study the $L^p$-Bochner-Riesz mean summability problem related to the spectrum of some particular Sturm-Liouville operators in the weighted $L^p([a,b],\omega).$ Our purpose is to establish suitable conditions under which the Bochner
Externí odkaz:
http://arxiv.org/abs/2102.00069
Autor:
Bourguiba, NourElHouda, Ahmed, Souabni
In this work, we first give some mathematical preliminaries concerning the generalized prolate spheroidal wave function (GPSWFs). These set of special functions have been introduced in [16] and [7] and they are defined as the infinite and countable s
Externí odkaz:
http://arxiv.org/abs/1805.10659
Autor:
Ahmed Souabni, NourElHouda Bourguiba
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:634-649
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b2b47d750eb34e86054ff7ac2f39b9e
https://doi.org/10.1002/mma.6770
https://doi.org/10.1002/mma.6770
Publikováno v:
Journal of Functional Analysis
Journal of Functional Analysis, Elsevier, 2019, 277, pp.108295. ⟨10.1016/j.jfa.2019.108295⟩
Journal of Functional Analysis, Elsevier, 2019, 277, pp.108295. ⟨10.1016/j.jfa.2019.108295⟩
Minor correction in the estimate of K_6 in Step 3 of the proof of the main theorem; International audience; The aim of this paper is to establish the range of p's for which the expansion of a function f ∈ L p in a generalized prolate spheroidal wav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff307629056e1e2edae671411b59bafb
Autor:
Abderrazek Karoui, Ahmed Souabni
Publikováno v:
Journal of Fourier Analysis and Applications. 22:383-412
In this work, we first give various explicit and local estimates of the eigenfunctions of a perturbed Jacobi differential operator. These eigenfunctions generalize the famous classical prolate spheroidal wave functions (PSWFs), founded in 1960s by Sl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fb32259a330c6313496156b57c0785b
https://doi.org/10.1007/s00041-015-9420-3
https://doi.org/10.1007/s00041-015-9420-3
Autor:
Ahmed Souabni, Abderrazek Karoui
In this paper, we investigate two uniform asymptotic approximations as well as some spectral properties of the eigenfunctions of the weighted finite Fourier transform operator, defined by $${\displaystyle {\mathcal {F}}_c^{(\alpha )} f(x)=\int _{-1}^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d313aa55c82cfdcd26945048f07b194