Second Titchmarsh's theorem for the generalized Fourier transform in the space L ^p (dμ _{k, n} )

References

[1] S. Ben Saïd, T. Kobayashi and B. Ørsted, Laguerre semigroup and Dunkl operators, Compos. Math. 148 (2012), no. 4, 1265–1336. 10.1112/S0010437X11007445Search in Google Scholar

[2] M. A. Boubatra, On the generalized Dunkl Dini–Lipschitz spaces, Integral Transforms Spec. Funct. 33 (2022), no. 10, 782–798. 10.1080/10652469.2022.2039133Search in Google Scholar

[3] M. El Hamma and R. Daher, Generalization of Titchmarsh’s theorem for the Bessel transform in the space L p , α ⁢ ( ℝ + ) , Ann. Math. Sil. 26 (2012), 55–59. Search in Google Scholar

[4] M. El Hamma and R. Daher, An analog of Titchmarsh’s theorem for the Dunkl transform in the space L p ⁢ ( ℝ d , w k ⁢ ( x ) ⁢ d ⁢ x ) , Mathematica 56(79) (2014), no. 1, 41–46. Search in Google Scholar

[5] M. Mannai and S. Negzaoui, Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform, Analysis (Berlin) 44 (2024), no. 4, 295–309. 10.1515/anly-2023-0045Search in Google Scholar

[6] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford University, Oxford, 1948. Search in Google Scholar