Kuznietsova V. Space of entire functions of L. de Branges and functional models of nondissipative operators

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U001047

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-12-2011

Specialized Academic Board

К 11.193.02

Essay

The thesis is devoted to construction of triangular and functional models for algebras Lie of linier non-selfadjoint operators which does not consist of a dissipative operator. For the Lie algebra of linear non-selfadjoint operators it was built functional models. It received the implementation of these model assumptions in the special spaces of meromorphic functions on Riemann surfaces. For the Lie algebra of three linear non-selfadjoint operators it was constructed a triangular model.

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