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pro vyhledávání: '"Seghier, Abdellatif"'
Autor:
Rambour, Philippe, Seghier, Abdellatif
Toeplitz matrices for the study of the fractional Laplacian on a bounded interval. In this work we get a deep link between (--$\Delta$) $\alpha$ ]0,1[ the fractional Laplacian on the interval ]0, 1[ and T N ($\Phi$ $\alpha$) the Toeplitz matrices of
Externí odkaz:
http://arxiv.org/abs/2006.08147
Autor:
Rambour, Philippe, Seghier, Abdellatif
In this work we generalize to few fractional differential operators the method used to reverse differential operators $\frac{d^{2n}}{dx^{2n}}$ by inverting a Toeplitz matrix. The interest of this work is to show that the method provides by the classi
Externí odkaz:
http://arxiv.org/abs/1803.10832
Autor:
Rinkel, Jean-Marc, Seghier, Abdellatif
We consider the class of positive bounded and semi-continuous functions defined on the two dimensional torus If f belongs to this class, then f will be considered as the symbol of a Toeplitz operator truncated on a triangle parametrised by an integer
Externí odkaz:
http://arxiv.org/abs/1302.6106
Autor:
Rambour, Philippe, Seghier, Abdellatif
Trace and extreme eigenvalues of a product of truncated Toeplitz matrices. The singular case. In a first theorem we give an asymptotic expansion of Tr (T_N (f_1) T_N^{-1}(f_2)) where f1 ({\theta}) = |1 - e^{i {\theta}} | ^{2{{\alpha}1}c1 (ei{\theta}{
Externí odkaz:
http://arxiv.org/abs/1106.2072
Autor:
Rambour, Philippe, Seghier, Abdellatif
Inversion of Toeplitz matrices with singular symbol. Minimal eigenvalues. Three results are stated in this paper. The first one is devoted to the study of the orthogonal polynomial with respect of the weight $\varphi_{\alpha} (\theta)=\vert 1- e^{i \
Externí odkaz:
http://arxiv.org/abs/1005.4073
Autor:
Rambour, Philippe, Seghier, Abdellatif
Asymptotic behavior of orthogonal polynomials on the circle, with respect to a weight having a fractional zero on the torus. Applications to the eigenvalues of certain unitary random matrices. This paper is devoted to the orthogonal polynomial on the
Externí odkaz:
http://arxiv.org/abs/0904.0777
Autor:
Seghier, Abdellatif
Th.--Math.--Paris 11, 1988.
Externí odkaz:
http://catalogue.bnf.fr/ark:/12148/cb37618508n
Autor:
Rambour, Philippe, Seghier, Abdellatif
Publikováno v:
In Bulletin des sciences mathematiques 2010 134(2):155-188
Autor:
Rambour, Philippe, Seghier, Abdellatif
Publikováno v:
In Comptes rendus - Mathématique 2009 347(9):489-494
Autor:
Rambour, Philippe, Seghier, Abdellatif
Publikováno v:
In Bulletin des sciences mathematiques 2007 131(3):258-275