On the Extension of Abilov and Titchmarsh-Type results to the Generalized Fourier-Bessel Transform
Keywords: Generalized Fourier-Bessel transform, generalized translation operators, modulus of continuity, K-functional.
DOI:
https://doi.org/10.5269/bspm.82951Resumo
L'objectif principal de ce travail est de fournir des estimations d'abilov ainsi qu'une version du
théorème de Titchmarsh et d'établir l'équivalence entre la K-fonctionnelle et le
module de régularité associé Ã la transformation de Fourier-Bessel généralisée dans une classe de fonctions de l'
espace Lp
α,n(R+), où 1 < p ≤ 2. Ici, Lp
α,n(R+) définit l'espace des fonctions mesurables
f : R+ →C telles que M−1
nf ∈ LpR+,dµÎ±(x) , où Mnf(x) = x2nf(x).
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Publicado
2026-07-01
Edição
Seção
Conf. Issue: Recent Advances in Applied Mathematics, Modeling, and Engineering
Licença
Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática
Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
Como Citar
Laamri, M., Akhlidj, A., & Arhilas, souhir. (2026). On the Extension of Abilov and Titchmarsh-Type results to the Generalized Fourier-Bessel Transform: Keywords: Generalized Fourier-Bessel transform, generalized translation operators, modulus of continuity, K-functional. Boletim Da Sociedade Paranaense De Matemática, 44(18), 1-9. https://doi.org/10.5269/bspm.82951
