Výsledky vyhledávání - "Bettaibi Néji"

Akademický článek

Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Autor: Gasmi Abdessalem, Ben Mohamed Hassen, Bettaibi Néji

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 24, Iss 1, Pp 289-307 (2016)

In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wave

Externí odkaz: https://doaj.org/article/bdea553c840448818eb42484fe2024c6

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On some $q$-versions of Ramanujan master theorem

Autor: Fitouhi, Ahmed, Brahim, Kamel, Bettaibi, Neji

In this paper, we state some $q$-analogues of the famous Ramanujan's Master Theorem. As applications, some values of Jackson's $q$-integrals involving $q$-special functions are computed.
Comment: 16 pages

Externí odkaz: http://arxiv.org/abs/1702.08440

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$q$-Analogue of the Dunkl transform on the real line

Autor: Bettaibi, Néji, bettaieb, Rym H.

In this paper, we consider a $q$-analogue of the Dunkl operator on $\mathbb{R}$, we define and study its associated Fourier transform which is a $q$-analogue of the Dunkl transform. In addition to several properties, we establish an inversion formula

Externí odkaz: http://arxiv.org/abs/0801.0069

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Wavelet Transforms Associated With the Basic Bessel Operator

Autor: Fitouhi, Ahmed, Bettaibi, Neji, Binous, Wafa

This paper aims to study the $q$-wavelet and the $q$-wavelet transforms, associated with the $q$-Bessel operator for a fixed $q\in ]0, 1[$. As an application, an inversion formulas of the $q$-Riemann-Liouville and $q$-Weyl transforms using $q$-wavele

Externí odkaz: http://arxiv.org/abs/math/0603036

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Uncertainty Principles for the Fourier Transforms in Quantum Calculus

Autor: Bettaibi, Neji, Fitouhi, Ahmed, Binous, Wafa

Some properties of the $q$-Fourier-sine transform are studied and $q$-analogues of the Heisenberg uncertainty principle is derived for the $q$-Fourier-cosine transform studied in \cite{FB} and for the $q$-Fourier-sine transform.
Comment: 11 page

Externí odkaz: http://arxiv.org/abs/math/0602658

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