English

Characteristic function of pencils. Model representations of a quadratic operator pencil

Functional Analysis 2022-04-27 v1

Abstract

Notion of an open system of second order is introduced. Characteristic function for such an open system is obtained. Model representations of a quadratic non-self-adjoint operator pencil are found.

Keywords

Cite

@article{arxiv.2204.12236,
  title  = {Characteristic function of pencils. Model representations of a quadratic operator pencil},
  author = {Vladimir A. Zolotarev},
  journal= {arXiv preprint arXiv:2204.12236},
  year   = {2022}
}