M
Mark Malamud
Researcher at Peoples' Friendship University of Russia
Publications - 172
Citations - 4018
Mark Malamud is an academic researcher from Peoples' Friendship University of Russia. The author has contributed to research in topics: Operator (computer programming) & Matrix (mathematics). The author has an hindex of 29, co-authored 166 publications receiving 3736 citations. Previous affiliations of Mark Malamud include National Academy of Sciences of Ukraine & Donetsk National University.
Papers
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Generalized resolvents and the boundary value problems for Hermitian operators with gaps
Vladimir Derkach,Mark Malamud +1 more
TL;DR: In this paper, a Hermitian operator A with gaps (αj, βj) (1 ⩽ j⩽ m ⩾ ∞) is studied and the self-adjoint extensions which put exactly kj < ∞ eigenvalues into each gap are described in terms of boundary conditions.
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The extension theory of Hermitian operators and the moment problem
Vladimir Derkach,Mark Malamud +1 more
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Boundary relations and their Weyl families
TL;DR: In this paper, the concepts of boundary relations and the corresponding Weyl families are introduced, and fruitful connections between certain classes of holomorphic families of linear relations on the complex Hilbert space H and the class of unitary relations Gamma : (H 2, J(H)) -> (H-2, J (H)), where Gamma need not be surjective and is even allowed to be multivalued.
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On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
Matthias Lesch,Mark Malamud +1 more
TL;DR: In this paper, the authors investigated the formal deficiency indices N ± of a symmetric first-order system Jf′+Bf=λ H f on an interval I, where I = R or I= R ±.
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1-D Schrödinger operators with local point interactions on a discrete set
Aleksey Kostenko,Mark Malamud +1 more
TL;DR: In this article, the authors considered the case d ∗ = 0 and obtained necessary and sufficient conditions for the operators H X, α to be self-adjoint, lower semibounded, and discrete.