A. Achak
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View article: Quantitative Uncertainty Principle for Sturm-Liouville Transform
Quantitative Uncertainty Principle for Sturm-Liouville Transform Open
In this paper we consider the Sturm-Liouville transform ℱ(f) on ℝ+. We analyze the concentration of this transform on sets of finite measure. In particular, Donoho-Stark and Benedicks-type uncertainty principles are given.
View article: Beurling’s Theorem for the Q-Fourier-Dunkl Transform
Beurling’s Theorem for the Q-Fourier-Dunkl Transform Open
The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we establish an analogue of Beurling’s theorem for…
View article: AN ANALOGUE OF COWLING-PRICE’S THEOREM FOR THE Q-FOURIER-DUNKL TRANSFORM
AN ANALOGUE OF COWLING-PRICE’S THEOREM FOR THE Q-FOURIER-DUNKL TRANSFORM Open
The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using theheat kernel associated to the Q-Fourier-Dunkl operator, we have established an analogue of Cowling-Price, …
View article: A REAL PALEY-WIENER THEOREM FOR THE GENERALIZED DUNKL TRANSFORM
A REAL PALEY-WIENER THEOREM FOR THE GENERALIZED DUNKL TRANSFORM Open
In this article, we prove a real Paley-Wiener theorem for the generalized Dunkl transform on R. 1.
View article: Beurling’S Theorem and Lp− Lqmorgan’S Theorem for the Generalized Bessel-Struve Transform
Beurling’S Theorem and Lp− Lqmorgan’S Theorem for the Generalized Bessel-Struve Transform Open
The generalized Bessel-Struve transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s theorem and Lp− LqMorgan’s theorem obtained for the generalized Bessel-Struve transfor…