6 citations · 11 across the 13 of their papers we have counts for
15 papers
On eigenfunction expansions of differential equations with degenerating weight
Vadim Mogilevskii
Let be a symmetric operator. By using the method of boundary triplets we parameterize in terms of a Nevanlinna parameter all exit space extensions $\wt A=\wt A^*$ of wi…
On uniform convergence of the inverse Fourier transform for differential equations and Hamiltonian systems with degenerating weight
Vadim Mogilevskii
We study pseudospectral and spectral functions for Hamiltonian system and differential equation with matrix-valued coefficients defined on an interv…
On compressions of self-adjoint extensions of a symmetric linear relation
Vadim Mogilevskii
Let be a symmetric linear relation in the Hilbert space $\gH$ with equal deficiency indices . A self-adjoint linear relation $\wt A\supset A$ in some Hilbe…
Weyl Solutions and J-selfadjointness for Dirac operators
B. Malcolm Brown, Martin Klaus, Mark Malamud +2
We consider a non-selfadjoint Dirac-type differential expression \begin{equation} D(Q)y:= J_n \frac{dy}{dx} + Q(x)y, \quad\quad\quad (1) \end{equation} with a non-selfadjoint poten…
Spectral and pseudospectral functions of various dimensions for symmetric systems
Vadim Mogilevskii
The main object of the paper is a symmetric system $J y'-B(t)y=ł\D(t) y$ defined on an interval $\cI=[a,b) $ with the regular endpoint . Let $\f(\cd,ł)$ be a matrix solution of…
On spectral and pseudospectral functions of first-order symmetric systems
Vadim Mogilevskii
We consider general (not necessarily Hamiltonian) first-order symmetric system $J y'-B(t)y=\D(t) f(t)$ on an interval $\cI=[a,b) $ with the regular endpoint . A distribution mat…