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Generalized resolvents and the boundary value problems for Hermitian operators with gaps

- V. Derkach, M. Malamud
- Mathematics
- 1991

The extension theory of Hermitian operators and the moment problem

- V. Derkach, M. Malamud
- Mathematics
- 1995

On the deficiency indices and self-adjointness of symmetric Hamiltonian systems

- M. Lesch, M. Malamud
- Mathematics
- 10 April 2003

On a formula of the generalized resolvents of a nondensely defined Hermitian operator

- M. Malamud
- Mathematics
- 1 December 1992

The Weyl function and the prohibited lineal, corresponding to a given space of boundary values of a nondensely defined Hermitian operator, are introduced and investigated. The prohibited lineal is… Expand

Boundary relations and their Weyl families

- V. Derkach, S. Hassi, M. Malamud, H. Snoo
- Mathematics
- 1 December 2006

The concepts of boundary relations and the corresponding Weyl families are introduced. Let S be a closed symmetric linear operator or, more generally, a closed symmetric relation in a Hilbert space… Expand

Boundary relations and generalized resolvents of symmetric operators

- V. Derkach, S. Hassi, M. Malamud, H. Snoo
- Mathematics
- 9 October 2006

The Kreĭn-Naĭmark formula provides a parametrization of all selfadjoint exit space extensions of a (not necessarily densely defined) symmetric operator in terms of maximal dissipative (in ℂ+)… Expand

Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set

- S. Albeverio, A. Kostenko, M. Malamud
- Mathematics
- 7 October 2010

We study the Hamiltonians HX,α,q with δ-type point interactions at the centers xk on the positive half line in terms of energy forms. We establish analogs of some classical results on operators… Expand

Scattering matrices and Weyl functions

- J. Behrndt, M. Malamud, H. Neidhardt
- Mathematics
- 1 April 2006

For a scattering system {AΘ, A0} consisting of self‐adjoint extensions AΘ and A0 of a symmetric operator A with finite deficiency indices, the scattering matrix {SΘ(λ)} and a spectral shift function… Expand

Weyl function and spectral properties of self-adjoint extensions

- J. Brasche, M. Malamud, H. Neidhardt
- Mathematics
- 1 September 2002

We characterize the spectra of self-adjoint extensions of a symmetric operator with equal deficiency indices in terms of boundary values of their Weyl functions. A complete description is obtained… Expand

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