Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup

• Autorzy: Rakhimi Larbi , Daher Radouan

Identyfikatory

DOI

10.1515/jaa-2023-0035

• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup𝕂 = [0, +∞[ × ℝ, via moduli of continuity of higher orders.

Słowa kluczowe

EN

Laguerre hypergroup; Fourier-Laguerre transform; Titchmarsh’s theorem; modulus of continuity

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 95--102
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Rakhimi Larbi

• Department of Mathematics, University Hassan II, Casablanca, Morocco

• https://orcid.org/0000-0002-1253-3010

autor

Daher Radouan

• Department of Mathematics, University Hassan II, Casablanca, Morocco

Bibliografia

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• [10] L. Rakhimi and R. Daher, Equivalence of K-functionals and modulus of smoothness for Laguerre type operator, J. Pseudo-Differ. Oper. Appl. 12 (2021), no. 4, Paper No. 53.
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• [12] L. Rakhimi and R. Daher, An analog of Titchmarsh’s theorem for the Laguerre-Bessel transform, Arab. J. Math. Sci. (2023), DOI 10.1108/AJMS-04-2022-0101.
• [13] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, 2nd ed., Chelsea, New York, 1948.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).