Vorobyov I. Functional models and metrical colligations for operators, which are near to normal ones

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U003394

Thesis Registration Form

0404U003394.pdf

Applicant for

Vorobyov Igor Vladimirovich

Specialization

01.01.01 - Математичний аналіз

Date of defense

27-08-2004

Specialized Academic Board

К 64.051.11

V.N. Karazin Kharkiv National University

Essay

In the dissertation singular integral models of linear bounded operators in complex separable Hilbert space are constructed. The Riemann-Hilbert problems are obtained. The problems connect boundary values of the determining functions with the characteristic functions. New properties of the mosaics and the Pincus principal finctions are obtained.

Thesis supervisor

Zolotarev Vladimir Alekseevich

Official opponents

Гришин Анатолій Пилипович
Маламуд Марк Михайлович

Files

Aref.doc

dis.pdf

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