Add to ORKGSpectrum analysis, corresponding to self-conjugate elliptic differential and pseudodifferential operators are considered in the paper aiming at the investigation of the geometrical property influence of the elliptic operator main symbol level surface on conditions of the localization and summation almost everywhere of corresponding spectrum analysises. As a results the exact dependence of spectrum analysis localization conditions on the main curvature zero of the main symbol level surface of the operator considered has been found. The asymptotical decomposition of a spectral functions of arbitrary elliptic operator in the norm has been constructed. Results may find their field of application in spectral theory of linear operators, mathemati...
The spectrum of a second order elliptic operator S, with ellipticity constant α discontinuous in a p...
The new asymptotic formulae for fundamental system of solving differential equations on base of whic...
AbstractWith a view toward applications to eigenfunction expansions and spectral asymptotics for par...
The asymptotics investigation for spectrum of degenerating elliptic operators is the aim of the pape...
This book deals with elliptic differential equations, providing the analytic background necessary fo...
The investigation of influencing special local features of the coefficients in the elliptic differen...
We prove that, given two elliptic operators A₁ and A₂ in Lᵖ(Ω₁) and Lᵖ(Ω₂) respectively whose spectr...
Investigated have been multiple Fourier series. The work has been aimed at analyzing conditions of u...
The spectral asymptotics calculation for elliptic differential operators with variable coefficients,...
The study deals with methods of summation of spectral decompositions. The work is aimed at studying ...
The present thesis is focused on the investigation of the spectral properties of the linear elliptic...
The aim is to calculate the spectral asymptotics of the elliptic differential operators being from s...
"TID-4500 (19th Ed.)" -t.p."UC-32 Mathematics and Computers" -t.p.Thesis--University of California, ...
In this paper we consider the eigenvalues of a class of non-local differential operators. The real e...
In this paper we consider the eigenvalues of a class of non-local differential operators. The real e...
The spectrum of a second order elliptic operator S, with ellipticity constant α discontinuous in a p...
The new asymptotic formulae for fundamental system of solving differential equations on base of whic...
AbstractWith a view toward applications to eigenfunction expansions and spectral asymptotics for par...
The asymptotics investigation for spectrum of degenerating elliptic operators is the aim of the pape...
This book deals with elliptic differential equations, providing the analytic background necessary fo...
The investigation of influencing special local features of the coefficients in the elliptic differen...
We prove that, given two elliptic operators A₁ and A₂ in Lᵖ(Ω₁) and Lᵖ(Ω₂) respectively whose spectr...
Investigated have been multiple Fourier series. The work has been aimed at analyzing conditions of u...
The spectral asymptotics calculation for elliptic differential operators with variable coefficients,...
The study deals with methods of summation of spectral decompositions. The work is aimed at studying ...
The present thesis is focused on the investigation of the spectral properties of the linear elliptic...
The aim is to calculate the spectral asymptotics of the elliptic differential operators being from s...
"TID-4500 (19th Ed.)" -t.p."UC-32 Mathematics and Computers" -t.p.Thesis--University of California, ...
In this paper we consider the eigenvalues of a class of non-local differential operators. The real e...
In this paper we consider the eigenvalues of a class of non-local differential operators. The real e...
The spectrum of a second order elliptic operator S, with ellipticity constant α discontinuous in a p...
The new asymptotic formulae for fundamental system of solving differential equations on base of whic...
AbstractWith a view toward applications to eigenfunction expansions and spectral asymptotics for par...