103 citations · 376 across the 44 of their papers we have counts for
19 papers · 1 filter
On the trace formulas and completeness property of root vectors systems for Dirac type operators
Anton A. Lunyov, Mark M. Malamud
The paper is concerned with the completeness property of the system of root vectors of a boundary value problem for the following Dirac type equation $$ L y = -i B^{-1…
On transformation operators and Riesz basis property of root vectors system for Dirac type operators. Application to the Timoshenko beam model
Anton A. Lunyov, Mark M. Malamud
The paper is concerned with the following Dirac type equation on…
A Glazman-Povzner-Wienholtz Theorem on graphs
Aleksey Kostenko, Mark Malamud, Noema Nicolussi
The Glazman-Povzner-Wienholtz theorem states that the completeness of a manifold, when combined with the semiboundedness of the Schrödinger operator and suitable local regu…
Stability of spectral characteristics and Bari basis property of boundary value problems for Dirac type systems
Anton A. Lunyov, Mark M. Malamud
The paper is concerned with the stability property under perturbation of different spectral characteristics of a BVP associated in with the…
Non-compact quantum graphs with summable matrix potentials
Yaroslav Granovskyi, Mark Malamud, Hagen Neidhardt
Let be a metric noncompact connected graph with finitely many edges. The main object of the paper is the Hamiltonian associated in $L^2(\mathcal{G};\mathb…
Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions
Viktoriya Budyka, Mark Malamud
The paper concerns with infinite symmetric block Jacobi matrices with -matrix entries. We present new conditions for general block Jacobi matrices to be selfadjo…