Generalized Bihari type integral inequalities and the corresponding integral equations.
Iterative refinement for approximate eigenelements of compact operators
Liouville's operator for a disc in space.
Mathematical Aspects of 't Hooft's Eigenvalue Problem in Two-Dimensional Quantum Chromodynamcis Part III.
Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.
On a Class of Hammerstein Integral Equations.
On one Fredholm integral equation of third kind.
On the Eigenproblem for Convolution Integral Equations.
On the Eigenvalue problem of T'Hooft.
On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator
In the present work, using a formula describing all scalar spectral functions of a Carleman operator of defect indices in the Hilbert space that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator .
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree .
On the spectrum of orthomorphisms and Barbashin operators.
On the spectrum of the operator which is a composition of integration and substitution
Let ϕ: [0,1] → [0,1] be a nondecreasing continuous function such that ϕ(x) > x for all x ∈ (0,1). Let the operator be defined on L₂[0,1]. We prove that has a finite number of nonzero eigenvalues if and only if ϕ(0) > 0 and ϕ(1-ε) = 1 for some 0 < ε < 1. Also, we show that the spectral trace of the operator always equals 1.
Original title unknown
Perturbation series and defect correction for the refinement of approximate eigenelements of linear integral operators
Procedures for Kernel Approximation and Solution of Fredholm Integral Equations of the Second Kind.
Quelques applications de la positivité en théorie du transport
Relaxation lengths and non-negative solutions in neutron transport
Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm.
Singular Value Estimates for Certain Convolution-Product Operators.