Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Sifi, Mohamed"'
In this paper, we consider the normalized Bessel function of index $\alpha > -\frac{1}{2}$, we find an integral representation of the term $x^nj_{\alpha+n}(x)j_\alpha(y)$. This allows us to establish a product formula for the generalized Hankel funct
Externí odkaz:
http://arxiv.org/abs/2011.08104
Autor:
Mustapha, Sami, Sifi, Mohamed
We prove the existence and uniqueness of a discrete nonnegative harmonic function for a random walk satisfying finite range, centering and ellipticity conditions, killed when leaving a globally Lipschitz domain in $\mathbb{Z}^d$. Our method is based
Externí odkaz:
http://arxiv.org/abs/1901.00637
We introduce a family of differential-reflection operators $\Lambda_{A, \varepsilon}$ acting on smooth functions defined on $\mathbb R.$ Here $A$ is a Strum-Liouville function with additional hypotheses and $\varepsilon\in \mathbb R.$ For special pai
Externí odkaz:
http://arxiv.org/abs/1507.00936
Autor:
Amri, Béchir, Sifi, Mohamed
In this paper we obtain the $L^p$-boundedness of Riesz transforms for Dunkl transform for all $1
Externí odkaz:
http://arxiv.org/abs/1105.1427
Let $G_{\lambda}^{(\alpha,\beta)}$ be the eigenfunctions of the Dunkl-Cherednik operator $T^{(\alpha,\beta)}$ on $\mathbb{R}$. In this paper we express the product $G_{\lambda}^{(\alpha,\beta)}(x)G_{\lambda}^{(\alpha,\beta)}(y)$ as an integral in ter
Externí odkaz:
http://arxiv.org/abs/1004.5203
Publikováno v:
Colloq. Math. (2010) 13 pp
In this article, we establish first a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally we describe more precis
Externí odkaz:
http://arxiv.org/abs/0904.3608
Publikováno v:
SIGMA 5 (2009), 019, 15 pages
In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we
Externí odkaz:
http://arxiv.org/abs/0902.2765
Publikováno v:
In Comptes rendus - Mathématique May 2016 354(5):510-516
Publikováno v:
In Comptes rendus - Mathématique October 2014 352(10):797-801
Autor:
Houissa Khadija, Sifi Mohamed
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 22, Iss 3, Pp 73-94 (2014)
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Externí odkaz:
https://doaj.org/article/152638df7794425a8466c06c7338e942