activity
19972001
most citedOperator interpretation of resonances arising in spectral problems for 2 x 2 operator matrices

6 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

math.SP2001

Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2x2 Operator Matrix

V. Hardt, R. Mennicken, A. K. Motovilov

We construct operators which factorize the transfer function associated with a non-self-adjoint 2x2 operator matrix whose diagonal entries can have overlapping spectra and whose of…

math.SP1999

Factorization theorem for the transfer function of a 2x2 operator matrix with unbounded couplings

V. Hardt, R. Mennicken, A. K. Motovilov

We consider the analytic continuation of the transfer function associated with a 2x2 operator matrix having unbounded couplings into unphysical sheets of its Riemann surface. We co…

math.AP1999

Boundary value problems for a class of elliptic operator pencils

R. Denk, R. Mennicken, L. Volevich

In this paper operator pencils are studied which act on a manifold with boundary and satisfy the condition of -ellipticity with parameter, a generalization of the not…

math.SP1998★ 3 cited

Operator interpretation of resonances generated by some operator matrices

R. Mennicken, A. K. Motovilov

We consider the analytic continuation of the transfer function for a 2x2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct a family of non-s…

math-ph1998

Operator interpretation of resonances arising in spectral problems for 2x2 matrix Hamiltonians

A. K. Motovilov, R. Mennicken

We consider the analytic continuation of the transfer function for a 2x2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct non-selfadjoint o…

funct-an1997★ 6 cited

Operator interpretation of resonances arising in spectral problems for 2 x 2 operator matrices

R. Mennicken, A. K. Motovilov

We consider operator matrices {\bf H}= (A_0 B_{01} \\ B_{10} A_{1}) with self-adjoint entries A_i, i=0,1, and bounded B_{01}=B_{10}^*, acting in the orthogonal sum {\cal H}={\cal H…