AbstractUsing R. Bellman's invariant imbedding techniques, we are able to solve certain time-dependent scattering matrix equations. In the process we develop the concept of nonpredictive operators and use the properties of groups generated by unbounded operators. Our main result is that a dissipative system has no critical point and thus a unique global scattering solution exists
We establish the existence of Bogoliubov's local scattering operators for P(\phi)_2 models of constr...
We give a simple description of the wave operators appearing in the Lax-Phillips scattering theory. ...
We give a rigorous mathematical derivation of the stationary state scattering theory from the time-d...
We show that in one dimension the transfer matrix M of any scattering potential v coincides with the...
Abstract. We develop a time-dependent scattering theory for general vector fields in Euclidean space...
The same positive functions (in the sense of reproducing kernel spaces) appear in a natural way in t...
Invariant imbedding equations for the Green's function of a general linear operator are shown to der...
AbstractThis paper explores various methods of solving problems in modern control theory with partic...
In this article we establish the uniqueness of solutions to first-order matrix dynamic equations on...
We present a systematic treatment of scattering processes for quantum systems whose time evolution i...
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolu...
AbstractAround fifty years ago, the principles of invariance were introduced in the the study of rad...
This paper constructs translation-invariant operators on L2.Rd /, which are Lip-schitz-continuous to...
Abstract. We investigate two classes of time-varying well-posed linear sys-tems. Starting from a tim...
Abstract. It is well known that linear system theory, Lax-Phillips scat-tering theory, and operator ...
We establish the existence of Bogoliubov's local scattering operators for P(\phi)_2 models of constr...
We give a simple description of the wave operators appearing in the Lax-Phillips scattering theory. ...
We give a rigorous mathematical derivation of the stationary state scattering theory from the time-d...
We show that in one dimension the transfer matrix M of any scattering potential v coincides with the...
Abstract. We develop a time-dependent scattering theory for general vector fields in Euclidean space...
The same positive functions (in the sense of reproducing kernel spaces) appear in a natural way in t...
Invariant imbedding equations for the Green's function of a general linear operator are shown to der...
AbstractThis paper explores various methods of solving problems in modern control theory with partic...
In this article we establish the uniqueness of solutions to first-order matrix dynamic equations on...
We present a systematic treatment of scattering processes for quantum systems whose time evolution i...
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolu...
AbstractAround fifty years ago, the principles of invariance were introduced in the the study of rad...
This paper constructs translation-invariant operators on L2.Rd /, which are Lip-schitz-continuous to...
Abstract. We investigate two classes of time-varying well-posed linear sys-tems. Starting from a tim...
Abstract. It is well known that linear system theory, Lax-Phillips scat-tering theory, and operator ...
We establish the existence of Bogoliubov's local scattering operators for P(\phi)_2 models of constr...
We give a simple description of the wave operators appearing in the Lax-Phillips scattering theory. ...
We give a rigorous mathematical derivation of the stationary state scattering theory from the time-d...
DOI
Add to ORKG