18 citations · 24 across the 8 of their papers we have counts for
8 papers
On a Nonlocal Integral Operator Commuting with the Laplacian and the Sturm-Liouville Problem I: Low Rank Perturbations of the Operator
Lotfi Hermi, Naoki Saito
We reformulate all general real coupled self-adjoint boundary value problems as integral operators and show that they are all finite rank perturbations of the free space Green's fu…
Trace formulas applied to the Riemann -function
Mark S. Ashbaugh, Fritz Gesztesy, Lotfi Hermi +3
We use a spectral theory perspective to reconsider properties of the Riemann zeta function. In particular, new integral representations are derived and used to present its value at…
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Lotfi Hermi, Naoki Saito
In this article we prove the existence, uniqueness, and simplicity of a negative eigenvalue for a class of integral operators whose kernel is of the form , ,…
Quadratic Interpolation and Rayleigh-Ritz Methods for Bifurcation Coefficients
W. M. Greenlee, L. Hermi
In this article we study the estimation of bifurcation coefficients in nonlinear branching problems by means of Rayleigh-Ritz approximation to the eigenvectors of the corresponding…
On Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator
Mark S. Ashbaugh, Lotfi Hermi
We produce a new proof and extend results by Harrell and Stubbe for the discrete spectrum of a self-adjoint operator. An abstract approach--based on commutator algebra, the Rayleig…
On Riesz Means of Eigenvalues
Evans M. Harrell, Lotfi Hermi
In this article we prove the equivalence of certain inequalities for Riesz means of eigenvalues of the Dirichlet Laplacian with a classical inequality of Kac. Connections are made…