Edit Profile Seghier, Abdellatif Compute Distance To: Compute Author ID: seghier.abdellatif Published as: Seghier, A.; Seghier, Abdellatif Documents Indexed: 26 Publications since 1976 all top 5 Co-Authors 7 single-authored 9 Rambour, Philippe 3 Kateb, Djalil M. 2 Castro, Glaysar 2 Rinkel, Jean-Marc 1 Drouiche, Karim 1 Girardin, Valerie 1 Kateb, Mohammed El-Djalil 1 Teyssière, Gilles all top 5 Serials 7 Comptes Rendus de l’Académie des Sciences. Série I 3 Bulletin des Sciences Mathématiques 2 Integral Equations and Operator Theory 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Asymptotic Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annales Mathématiques du Québec all top 5 Fields 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 16 Publications have been cited 51 times in 30 Documents Cited by ▼ Year ▼ Formulas for the inverses of Toeplitz matrices with polynomially singular symbols. Zbl 1069.47027Rambour, Philippe; Seghier, Abdellatif 7 2004 Prediction d’un processus stationnaire du second ordre de covariance connue sur un intervalle fini. Zbl 0383.60039Seghier, A. 6 1978 Asymptotic inverse of Toeplitz matrices with symbol \((1-\cos \theta )^\alpha f_1\), \(\frac{-1}{2} <\alpha \leq\frac12\), and integral kernels. Zbl 1191.47046Rambour, Philippe; Seghier, Abdellatif 5 2010 Inversion de la matrice de Toeplitz en d dimensions et développement asymptotique de la trace de l’inverse à l’ordre d. (Inversion of the Toeplitz matrix in d dimensions and asymptotic development of the trace of the inverse of order d). Zbl 0589.47023Seghier, A. 5 1986 Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. Zbl 1243.15017Rambour, Philippe; Seghier, Abdellatif 4 2012 Trace theorems of Szegő type in the singular case. Zbl 1089.47028Rambour, Philippe; Seghier, Abdellatif 4 2005 Exact and asymptotic inverse of the Toeplitz matrix with polynomial singular symbol. Zbl 1012.65025Rambour, Philippe; Seghier, Abdellatif 4 2002 Expansion of the inverse of positive-definite Toeplitz operators over polytopes. Zbl 0974.47020Kateb, Djalil; Seghier, Abdellatif 3 2000 The generalised Dyson circular unitary ensemble: asymptotic distribution of the eigenvalues at the origin of the spectrum. Zbl 1217.15042Rambour, Philippe; Seghier, Abdellatif 2 2011 Asymptotic inversion of Toeplitz matrices with one singularity in the symbol. Zbl 1167.47024Rambour, Philippe; Seghier, Abdellatif 2 2009 An extension of a result of Szegő on eigenvalues of Toeplitz matrices. Zbl 1125.47021Rambour, Philippe; Seghier, Abdellatif 2 2007 Asymptotic inverse of the Toeplitz matrix and Green kernel. Zbl 0965.15002Rambour, Philippe; Rinkel, Jean-Marc; Seghier, Abdellatif 2 2000 Extension of positive definite functions and associated entropy. The multidimensional case. Zbl 0776.42015Seghier, A. 2 1991 Prediction, orthogonal polynomials and Toeplitz matrices. A fast and reliable approximation to the Durbin-Levinson algorithm. Zbl 1183.62159Kateb, Djalil; Seghier, Abdellatif; Teyssière, Gilles 1 2007 Reconstruction de la densité spectrale par maximum d’entropie. Cas d- dimensionnel. (Spectral density reconstruction by maximum entropy method: the d-dimensional case). Zbl 0623.42005Seghier, Abdellatif 1 1987 Inversion de la matrice de Toeplitz en plusieurs dimensions et théorème de Szegoe. Zbl 0484.15019Seghier, Abdellatif 1 1981 Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. Zbl 1243.15017Rambour, Philippe; Seghier, Abdellatif 4 2012 The generalised Dyson circular unitary ensemble: asymptotic distribution of the eigenvalues at the origin of the spectrum. Zbl 1217.15042Rambour, Philippe; Seghier, Abdellatif 2 2011 Asymptotic inverse of Toeplitz matrices with symbol \((1-\cos \theta )^\alpha f_1\), \(\frac{-1}{2} <\alpha \leq\frac12\), and integral kernels. Zbl 1191.47046Rambour, Philippe; Seghier, Abdellatif 5 2010 Asymptotic inversion of Toeplitz matrices with one singularity in the symbol. Zbl 1167.47024Rambour, Philippe; Seghier, Abdellatif 2 2009 An extension of a result of Szegő on eigenvalues of Toeplitz matrices. Zbl 1125.47021Rambour, Philippe; Seghier, Abdellatif 2 2007 Prediction, orthogonal polynomials and Toeplitz matrices. A fast and reliable approximation to the Durbin-Levinson algorithm. Zbl 1183.62159Kateb, Djalil; Seghier, Abdellatif; Teyssière, Gilles 1 2007 Trace theorems of Szegő type in the singular case. Zbl 1089.47028Rambour, Philippe; Seghier, Abdellatif 4 2005 Formulas for the inverses of Toeplitz matrices with polynomially singular symbols. Zbl 1069.47027Rambour, Philippe; Seghier, Abdellatif 7 2004 Exact and asymptotic inverse of the Toeplitz matrix with polynomial singular symbol. Zbl 1012.65025Rambour, Philippe; Seghier, Abdellatif 4 2002 Expansion of the inverse of positive-definite Toeplitz operators over polytopes. Zbl 0974.47020Kateb, Djalil; Seghier, Abdellatif 3 2000 Asymptotic inverse of the Toeplitz matrix and Green kernel. Zbl 0965.15002Rambour, Philippe; Rinkel, Jean-Marc; Seghier, Abdellatif 2 2000 Extension of positive definite functions and associated entropy. The multidimensional case. Zbl 0776.42015Seghier, A. 2 1991 Reconstruction de la densité spectrale par maximum d’entropie. Cas d- dimensionnel. (Spectral density reconstruction by maximum entropy method: the d-dimensional case). Zbl 0623.42005Seghier, Abdellatif 1 1987 Inversion de la matrice de Toeplitz en d dimensions et développement asymptotique de la trace de l’inverse à l’ordre d. (Inversion of the Toeplitz matrix in d dimensions and asymptotic development of the trace of the inverse of order d). Zbl 0589.47023Seghier, A. 5 1986 Inversion de la matrice de Toeplitz en plusieurs dimensions et théorème de Szegoe. Zbl 0484.15019Seghier, Abdellatif 1 1981 Prediction d’un processus stationnaire du second ordre de covariance connue sur un intervalle fini. Zbl 0383.60039Seghier, A. 6 1978 all cited Publications top 5 cited Publications all top 5 Cited by 26 Authors 11 Rambour, Philippe 9 Seghier, Abdellatif 3 Inoue, Akihiko 3 Rinkel, Jean-Marc 2 Bingham, Nicholas Hugh 2 Kasahara, Yukio 1 Arimoto, Akio 1 Böttcher, Albrecht 1 Castro, Glaysar 1 Chanzy, Jean 1 Dakovic, Rada 1 Denker, Manfred 1 Fukshansky, Lenny 1 Garcia García, David 1 Garcia, Stephan Ramon 1 Ginovyan, Mamikon S. 1 Girardin, Valerie 1 Gordin, Mikhail Iosifovich 1 Maharaj, Hiren 1 Meiring, Wendy 1 Mikaelyan, Levon V. 1 Perrin, Olivier 1 Sakhnovich, Alexander L. 1 Seghier, Abedellatif 1 Tierz, Miguel 1 Tilli, Paolo all top 5 Cited in 21 Serials 4 Bulletin des Sciences Mathématiques 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales Mathématiques du Québec 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Annals of the Institute of Statistical Mathematics 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series A 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Probability Surveys 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 15 Fields 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistics (62-XX) 3 Special functions (33-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year