Kalyuzhnyj-Verbovets'kyj D. Multiparametric dissipative linear stationary dynamical scattering systems (discrete case)

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U000816

Thesis Registration Form

0401U000816.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-02-2001

Specialized Academic Board

K 64.051.11

Essay

Object of research: multiparametric dissipative linear scattering systems. Goal of research: development of such a concept of multiparametric dissipative scattering systems in which the most important aspects of the theory of dissipative scattering systems with discrete time have substantial generalizations. Methods of research: methods of the theory of operators in Hilbert spaces and linear systems theory. New theoretical results: a new type of multiparametric linear systems, in particular, dissipative and conservative scattering ones, is introduced; for the latter the transfer functions class is described; the theory of dilations for multiparametric systems is developed.

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