Bakan A. Polynomial approximation on the real axis, Karlin's problem and normality of convex sets.

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0510U000025

Thesis Registration Form

0510U000025.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

22-12-2009

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

Analytical representations of Borel measures on the real line for which algebraic polynomials are dense in the space $L_p$ either for given or for all $0 < p < /infty$ have been found in thesis as well as analytical representations of those measures that are determinate in the sense of H.Hamburger or T.Stieltjes. S.Karlin's problem about zero-diminishing sequences has been partly solved. With the help of the normal property it has been obtained a complete geometrical description of finitely many convex sets for which cyclic projection algorithm converges uniformly linearly.

Read more

Files

Aref.pdf

Dis.pdf

Similar theses

0821U101801

Petrova Iryna Leonidivna

"Interpolatory estimates for comonotone approximation

0421U102744

Volkov Sergiy V

To the theory of boundary behavior of mappings on Riemann surfaces

0421U102723

Petkov Ihor Vasylovich

The boundary behavior of solutions and the Dirichlet problem for the Beltrami equations

0421U102684

Holubchak Oleh Mykhailovych

Operators on Hilbert spaces of symmetric analytic functions on a Banach space with a symmetric structure.

0521U101474

Kaliuzhnyi-Verbovetskyi Dmytro S.

Foundations of the theory of free noncommutative functions and some it is applications in algebra and analysis