Results 31 to 40 of about 480 (63)

Szegö limit theorems for operators with almost periodic diagonals. [PDF]

, 2006
The classical Szego theorems study the asymptotic behaviour of the determinants of the finite sections PnT(a)Pn of Toeplitz operators, i.e., of operators which have constant entries along each diagonal. We generalize these results to operators which have
S. Roch, B. Silbermann
semanticscholar   +1 more source

A Spectral Gap Estimate and Applications

, 2017
We consider the Schr\"odinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and prove a lower bound on the first eigenvalue $\lambda_1$ in terms of ...
Georgiev, Bogdan, Mukherjee, Mayukh, Steinerberger, Stefan   +2 more
core   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
A. Guiro, Ismael Nyanquini, S. Ouaro
semanticscholar   +1 more source

On differentiability of a class of orthogonally invariant functions on several operator variables

, 2018
In this work, we study a connection between two classes of orthogonally invariant functions. Both types of functions are defined on Sn1 × . . .× Snk . The functions in the first class take their values in Sn1 ···nk , while those in the second take values
T. Jiang, Hristo S. Sendov
semanticscholar   +1 more source

Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

Advanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
doaj   +1 more source

On the block numerical range of operators on arbitrary Banach spaces

, 2018
We investigate the block numerical range of bounded linear operators on arbitrary Banach spaces. We show that the spectrum of an operator is always contained in the closure of its block numerical range.
Agnes Radl, M. Wolff
semanticscholar   +1 more source

The spectra of the spherical and euclidean triangle groups

, 2007
We derive the spectrum of the Laplace-Beltrami operator on the quotient orbifold of the non hyperbolic triangle groups.Comment: accepted in the Journal of the Australian Mathematical ...
Cooper, Hardy, Hejhal, Hirschhorn, Lamé, MARK HARMER, Selberg   +6 more
core   +1 more source

Inequalities for selected eigenvalues of the product of matrices

, 2019
The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues.
Xi, Bo-Yan, Zhang, Fuzhen
core   +1 more source

Integral Operators and Delay Differential Equations

, 2006
The monodromy operator of a linear delay differential equation with periodic coefficients is formulated as an integral operator. The kernel of this operator includes a factor formed from the fundamental solution of the linear delay differential equation.
D. Gilsinn, F. Potra
semanticscholar   +1 more source

Symmetrization for Mixed Operators

Annales Mathematicae Silesianae
In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
doaj   +1 more source