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Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems of the following three subclasses of the class of spectral operators: (a) normal operators; (b) operators similar
On spectral decomposition of generalized bessel potentialsWe establish the localization condition for the γ-means spectral decomposition by the system
On the structure of the solution of singularly perturbed initial boundary value problems with an unbounded spectrum of the limit operator of ordinary differential equations on the semiaxis with an unbounded spectrum of the limit operator. We give a
Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group operator D, a first order differential operator of index 1. We show that this spectral triple has simple
Spectral Analysis of One-Dimensional Dirac System with Summable Potential and Sturm-Liouville Operator with Distribution CoefficientsIn the monograph we study spectral properties of Sturm - Liouville and Dirac operators. Both
О спектральной проекции для комплексной задачи
НейманаWe show that the L2 -spectral kernel function of the ¯@ -Neumann problem on a non-compact strongly
On the index instability for some nonlocal elliptic problems zero of a certain order at the conjugation points do not affect the index of the unbounded operator
Scheme of the finite element method with multiplicative separation of the singularity for a spectral boundary value problem for a degenerate differential operatorThe paper deals with the numerical solution of a generalized spectral boundary value problem
Unbounded perturbations of two-dimensional diffusion processes with nonlocal boundary conditionsThe use of non-transversal nonlocal conditions for unbounded perturbations of two
Bounded Solutions of Semilinear Time Delay Hyperbolic Differential and Difference Equations in Hilbert spaces with a self-adjoint positive definite operator. The mean theorem on the existence
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