Tsejtlin L. Generalized integrals for vector functions and vector measures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U002323

Thesis Registration Form

0400U002323.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

01-09-2000

Specialized Academic Board

K 64.051.11

Essay

Object of research: integrals of vector functions and vector measures. Goal of research: studying the properties of the limit set of Riemann integral sums of a scalar function with respect to a vector measure; definition and studying of Riemann-Lebesgue integral sums and integral. Methods of research: methods of functional analysis. Theoretical results and novelty: the properties of the limit set of Riemann integral sums of a scalar function with respect to a vector measure are found; a new type of integration is introduced; its properties and relation to other types of integration are studied

Read more

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