Generalization of Titchmarsh's theorem for the Fourier transform in the space \(\mathrm {L}^{2}(\mathbb {R}^{n})\)
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Publication:1689723
DOI10.1007/s13370-015-0368-xzbMath1386.42004OpenAlexW1740631293MaRDI QIDQ1689723
Mustapha Boujeddaine, Radouan Daher, Mohamed El Hamma
Publication date: 17 January 2018
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-015-0368-x
Related Items (6)
Generalization of Titchmarsh's theorem for the modified Whittaker transform ⋮ Some inequalities involving Fourier transforms ⋮ Fourier-Bessel Dini Lipschitz functions in the space \(L_{\alpha,n}^{2}\) ⋮ Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on \([0, \pi\)] ⋮ An analog of the Titchmarsh's theorem for the first Hankel-Clifford transform ⋮ Fourier-Bessel series of Lipschitz functions in weighted spaces \(L_p([0, 1, t^{2\alpha +1}dt)\)]
Cites Work
- Bessel transform of \((k, \gamma)\)-Bessel Lipschitz functions
- Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
- Growth properties of Fourier transforms via moduli of continuity
- On estimates for the Fourier transform in the space \(L^{2}(\mathbb{R}^{n})\)
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