Search Results - "Abouelaz, A."

Uncertainty Principles for The Quaternion Linear Canonical Transform by Achak, A., Abouelaz, A., Daher, R., Safouane, N.

“…The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The…”
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Donoho–Stark’s uncertainty principle for the quaternion Fourier transform by Abouelaz, A., Achak, A., Daher, R., Safouane, N.

“…The (right-sided) quaternion Fourier transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. Donoho–Stark’s…”
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Quantitative Uncertainty Principles Related to Lions Transform by Achak, A., Abouelaz, A., Daher, R., Safouane, N.

“…We prove various mathematical aspects of the quantitative uncertainty principles, including Donoho–Stark’s uncertainty principle and a variant of Benedicks…”
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Quantitative uncertainty principles for the Weinstein transform by Abouelaz, A., Achak, A., Daher, R., Safouane, N.

“…The Weinstein transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. Donoho–Stark’s uncertainty principle is…”
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Characterizations of function spaces by the discrete Radon transform by Abouelaz, A., Kawazoe, T.

“…Let be the lattice in and the set of all discrete hyperplanes in . Similarly, as in the Euclidean case, for a function f on , the discrete Radon transform R f…”
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A Real Paley-Wiener Theorem for the Generalized Dunkl Transform by A. Abouelaz, A. Achak, R. Daher, El. Loualid

“…In this article, we prove a real Paley-Wiener theorem for the generalized Dunkl transform on R…”
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Characterization of (δ,γ)-Dini-Lipschitz Functions in Terms of Their Jacobi-Dunkl Transforms by A. Belkhadir, A. Abouelaz, R. Daher

“…In this paper, we are going to define a generalized Dini-Lipschitz class and give a characterization for functions belonging to by means of an asymptotic…”
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Characterization of (δ,γ)-Dini-Lipschitz Functions in Terms of Their Jacobi-Dunkl Transforms by A. Belkhadir, A. Abouelaz, R. Daher

“…In this paper, we are going to define a generalized Dini-Lipschitz class and give a characterization for functions belonging to by means of an asymptotic…”
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An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) by A. Abouelaz, A. Belkhadir, R. Daher

“…In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem  for functions satisfying the Jacobi-Dunkl…”
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An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R) by A. Abouelaz, A. Belkhadir, R. Daher

“…In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem  for functions satisfying the Jacobi-Dunkl…”
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Beurling’S Theorem and Lp− Lqmorgan’S Theorem for the Generalized Bessel-Struve Transform by A. Abouelaz, A. Achak, R. Daher, N. Safouane

“…The generalized Bessel-Struve transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s…”
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Beurling’S Theorem and Lp− Lqmorgan’S Theorem for the Generalized Bessel-Struve Transform by A. Abouelaz, A. Achak, R. Daher, N. Safouane

“…The generalized Bessel-Struve transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s…”
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A Real Paley-Wiener Theorem for the Generalized Dunkl Transform by A. Abouelaz, A. Achak, R. Daher, El. Loualid

“…In this article, we prove a real Paley-Wiener theorem for the generalized Dunkl transform on R…”
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