<Some properties of the Cauchy matrix> 7

Approved at the meeting of the Department Reporl Ng

I

Bank of theses

of

graduates of the Department of Fundamental Mathematics

'7

1.

"Numerical integration of functions from multidimensional classes in the context of the C(N)D and their applications"

2.

<Application

of

integral inequalities to the study

of

oscillations of differential equations>

3.

"Integral operators in the class of generulized analytic functions"

4. "Application

of Fast "Algebraic" Fourier Transforms

in

Quasi-Monte Carlo Type Computational Problems"

5.

"On conditions

for

embeddings of the Sobolev-Morrey classes "

6.

^<Some properties of the Cauchy matrix>

7.

"Optimal estimates of the Gelfand diameter in the case of

differential

operators"

8.

"Trigonometric problem of

multipliers in

Lorentz spaces"

9.

<Separability theorems for the

infinite

systems of the difference equations>

10. "On the number

of

eigenvalues for the Laplace operator"

1 1.

"

Solution of ^a boundary-value problem

with

impulse action

for

systems of ordinary differential equations by the parcmetrization method in the MathCad environment"

12. "Properties

of

generalizedLorcntz

spaces"

:i

13. <Some generalizations of the Hardy and Bellman's transformations>

14. "The Net space and their properties"

15. <Investigation of maximum likelihood estimates of discrete distributisns

in

^general form>

16. Boundless, compactness

of

a class nonlinear operators in the space of the sequenoe 17. "Properties of one class of the matrix operators

in

cesdro space"

18.

Ul'yanov

type inequalities

and

transformed Fourier series 19.

Multipliers

in weighted defference spaces

20. Interpolation

of

noncommutative Hardy spaces 21. Morrey spaces and

multipliers

22. Two-sided _estimate of integral operators

with

variable

limits

23. weighted estimate of integral operators

with

logarithmic singularity 24.

An

approximate calculation of the integrals of

rapidly

oscillating functions 25. Non-bounded difference operators

26.Theoretical. aspects of the subject of ordinary differential equations

27 . The research of the boundary value problem of the axisymmetric toroidal motion of an ideal incompressible

fluid in

fractional space

of

O.V. Besov

28.

Hardy-Littlewood

type inequalities for functions of

two

variables from seneralized Lorentz spaces.

29

'

The existence and uniqueness of a

distribution

solution frir the model

of

sas transoort

i'

frozen sround

of

Bank of master's theses of the Department of Fundamental Mathematics

30. Statistical estimation for parameters of a discrete

probability

model

of

sums

of polynomially

distributed random variables

31.

A

boundary value problem

with

an oblique derivative in weighted spaces of Holder

cfl;iccl

32.

Solvability

conditions

of

system of the second order difference _equations 33.

Infinite

difference systems of equations of the

third

order

34. Restoration

of

function in the accurate and inaccurate

data

:

35. About some approximation _methods in the

theory

of

differe4tial

operators

36. Numerical differentiation of functions by unexact information

of

its triqonometric Fourier coefficients

37. Bochkarev type inequalities 38. Heat equation on the group _SO(2)

39. Properties

of

functions

with

Fourier coefficients

from

1r.," space,two-dimensional case

40- Characteristic

of

solution of a second order semilinear difference equation at

infinity

41.

A

study of the convergence of number series in the class

of

generalzedmonotone sequences

42. Some Hardy-type inequalities in discrete Morrey spaces

43. Kneser-type oscillatory conditions

of

second order semilinear difference equations 44. Spectral properties of correct restrictions and extensions

for

some differentiai operators.

45. Weighted discrete bilinear Hardy inequality

46. Weighted estimates

for

discrete iterated Hardy operator

47.Hardy

type inequalities

in

group SO(2)

Head Department

of

Fundamental Mathematics Dean of

MMF

Aldai M.

jl

:, Kozybaev D. H.