2 citations · 5 across the 6 of their papers we have counts for
6 papers
Asmptotic of the eigenvalues of Toeplitz matrices with even symbol
Philippe Rambour
In this paper we consider an interval and a differentiable, periodic and even function sufficiently smooth such that $f(θ) \in [f(θ\_{1}, f(θ\…
Toeplitz matrices for the study of the fractional Laplacian on a bounded interval
Philippe Rambour, Abdellatif Seghier
Toeplitz matrices for the study of the fractional Laplacian on a bounded interval. In this work we get a deep link between (--) ]0,1[ the fractional Laplacian on the interva…
Fractional differential operators and Toeplitz matrices
Philippe Rambour, Abdellatif Seghier
In this work we generalize to few fractional differential operators the method used to reverse differential operators by inverting a Toeplitz matrix. The i…
Orthogonal polynomials with respect of a class of Fisher-Hartwig symbols
Philippe Rambour
In this paper we give an asymptotic of the coefficients of the orthogonal polynomials on the unit circle, with respect of a weight of type $\displaystyle{ f : θ\mapsto \prod_{1\le…
Asymptotic of the terms of the Gegenbauer polynomial on the unit circle and applications to the inverse of Toeplitz matrices
Philippe Rambour
The first part of this paper is devoted to the study of the orthogonal polynomial on the circle, with respect of a weight of type with $θ_0…
Maximal eigenvalue and norm of the product of Toeplitz matrices. Study of a particular case
Philippe Rambour
In this paper we describe the asymptotic behaviour of the spectral norm of the product of two finite Toeplitz matrices as the matrix dimension goes to the infinity. These Toeplitz…