Belkhadir, Abdelhak; Daher, Radouan; Safouane, Najat Titchmarsh’s theorems, \(K\)-functional and Jackson’s theorems for the free metaplectic transform. (English) Zbl 1528.42010 Rend. Circ. Mat. Palermo (2) 72, No. 7, 3325-3343 (2023). Reviewer: Khaled Hleili (Arar) MSC: 42A38 44A35 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Soltani, Fethi; Aledawish, Saliha Generalization of Titchmarsh’s theorem for the modified Whittaker transform. (English) Zbl 1529.44002 Integral Transforms Spec. Funct. 34, No. 3, 261-273 (2023). Reviewer: Faruk Uçar (İstanbul) MSC: 44A15 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan Lipschitz and Fourier type conditions with moduli of continuity in rank \(1\) symmetric spaces. (English) Zbl 1496.42004 Monatsh. Math. 197, No. 2, 353-364 (2022). MSC: 42A38 26A16 58A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Ouadih, Salah; Daher, Radouan Lipschitz conditions in Damek-Ricci spaces. (English) Zbl 1483.43007 C. R., Math., Acad. Sci. Paris 359, No. 6, 675-685 (2021). Reviewer: Jinsong Wu (Harbin) MSC: 43A30 42B10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kumar, Vishvesh; Ruzhansky, Michael A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces. (English) Zbl 1464.41007 J. Approx. Theory 264, Article ID 105537, 13 p. (2021). Reviewer: Włodzimierz Łenski (Poznań) MSC: 41A25 42A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boujeddaine, Mustapha; El Kassimi, Mohammed; Fahlaoui, Saïd Helgason-Gabor-Fourier transform and uncertainty principles. (English) Zbl 1457.42009 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 1, Article ID 2050056, 12 p. (2021). MSC: 42A38 42C20 42C40 94A12 43A32 44A15 43A90 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Ouadih, S. An equivalence theorem for a \(K\)-functional constructed by Beltrami-Laplace operator on symmetric spaces. (English) Zbl 1462.43006 J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1951-1962 (2020). Reviewer: Jorge Vargas (Córdoba) MSC: 43A85 53C35 46M35 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
El Hamma, Mohamed; Lafdal, Hamad Sidi; Djellab, Nisrine; Khalil, Chaimaa Jacobi transform of \((\nu, \gamma, p)\)-Jacobi-Lipschitz functions in the space \(\text{L}^p(\mathbb{R}^+,\Delta_{(\alpha,\beta)}(t) dt)\). (English) Zbl 1443.42005 Ural Math. J. 5, No. 1, 53-58 (2019). MSC: 42A38 43A85 22E30 33C45 × Cite Format Result Cite Review PDF Full Text: DOI MNR OA License
Platonov, S. S. Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in \(L_2\) metric: Jackson’s type direct theorems. (English) Zbl 1407.33015 Integral Transforms Spec. Funct. 30, No. 4, 264-281 (2019). MSC: 33C45 41A17 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
El Ouadih, S.; Daher, R. Growth properties of the Cherednik-Opdam transform in the space \(L^p_{\alpha,\beta}(\mathbb{R})\). (English) Zbl 1474.42023 Casp. J. Math. Sci. 7, No. 1, 80-87 (2018). MSC: 42A38 42B10 42B37 × Cite Format Result Cite Review PDF Full Text: DOI
El Ouadih, S.; Daher, R.; Lafdal, H. S. Some estimates for the generalized Fourier transform associated with the Cherednik-Opdam operator on \(\mathbb{R} \). (English) Zbl 1474.42024 Vladikavkaz. Mat. Zh. 20, No. 3, 78-86 (2018). MSC: 42A38 42B10 42A63 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Daher, R.; El Ouadih, S. Some new estimates for the Helgason-Fourier transform on rank 1 symmetric spaces. (English) Zbl 1405.44001 Proc. Indian Acad. Sci., Math. Sci. 128, No. 3, Paper No. 37, 11 p. (2018). Reviewer: Deshna Loonker (Jodhpur) MSC: 44A05 × Cite Format Result Cite Review PDF Full Text: DOI
El Ouadih, Salah; Daher, Radouan Characterization of Dini Lipschitz functions in terms of their Helgason transform. (English) Zbl 1513.42100 An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 2, 117-130 (2016). MSC: 42B37 42B10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Fahlaoui, S.; Boujeddaine, M.; El Kassimi, M. Fourier transforms of Dini-Lipschitz functions on rank 1 symmetric spaces. (English) Zbl 1352.43005 Mediterr. J. Math. 13, No. 6, 4401-4411 (2016). MSC: 43A30 × Cite Format Result Cite Review PDF Full Text: DOI
El Ouadih, Salah; Daher, Radouan Characterization of Dini-Lipschitz functions for the Helgason Fourier transform on rank one symmetric spaces. (English) Zbl 1348.42010 Adv. Pure Appl. Math. 7, No. 4, 223-230 (2016). MSC: 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
El Ouadih, S.; Daher, R. Some new estimates for the Cherednik-Opdam transform in the space \(L^{2}_{\alpha ,\beta}(\mathbb {R})\). (English) Zbl 1334.42013 J. Pseudo-Differ. Oper. Appl. 7, No. 1, 47-58 (2016). MSC: 42A38 42B37 × Cite Format Result Cite Review PDF Full Text: DOI
Daher, R.; El Ouadih, S. Some new estimates for the Jacobi transform in the space \(L_{2}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)\). (English) Zbl 1356.44003 Asia Pac. J. Math. 2, No. 1, 1-8 (2015). MSC: 44A15 × Cite Format Result Cite Review PDF Full Text: Link