Multiparametric Passive Linear Stationary Dynamical Scattering Systems: Discrete Case, II: Existence of Conservative Dilations
Dmitriy S. Kalyuzhniy
Abstract
In the present paper we introduce the notion of dilation of a multiparametric linear stationary dynamical system (systems of this type, in particular passive, and conservative scattering ones were first introduced in func-an/9804130). We establish the criterion for existence of a conservative dilation of a multiparametric passive scattering system. This allows to distinguish the class of so-called N-passive systems preserving the most important properties of one-parametric passive scattering systems.
Create a lesson
Related papers
Truncated Moment Problems and the Extension Property on Monomial Curves
Rajkamal Nailwal, Aljaž Zalar, Igor Zobovič
Optimal stability of regularized spectral differentiation in Sobolev spaces
Teemu Tyni
Modular Topologies on Vector Spaces: Structure and Normability
M. Khamsi, J. Lang, O. Mendez
Critical Norm Profiles for Finite-Prime Composition Operators on the Hardy Space of Dirichlet Series
Xiang Fang, Feng Guo, Aman Mishra et al.
Sparse Operators and their boundedness on Morrey-type Spaces: An Expository Note
Manasa N. Vempati
Sharp Concave-Function Transfer for Lee-Type Schatten Norm Inequalities
Xing Li