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Vol. 62 No. 8 (2010)

Published: 25.08.2010

Research articles

Generalized solutions for linear operators with weakened a priori inequalities

A. V. Anikushyn, D. A. Nomirovs'kii

1011–1021
- PDF (Ukrainian)
- Springer
Completeness of invariant ideals in groups

T. O. Banakh, N. Lyaskovska

1022–1031
- PDF
- Springer
Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes

S. B. Vakarchuk, V. G. Doronin

1032–1043
- PDF (Russian)
- Springer
Regular orthoscalar representations of the extended Dynkin graph $\widetilde{E}_8$ and ∗-algebra associatedwith it

S. A. Kruhlyak, I. V. Livins'kyi

1044–1062
- PDF (Ukrainian)
- Springer
Localization of eigenvalues of polynomial matrices

A. G. Mazko

1063–1077
- PDF (Russian)
- Springer
Constructive description of monogenic functions in a harmonic algebra of the third rank

S. A. Plaksa, V. S. Shpakovskii

1078–1091
- PDF (Russian)
- Springer
Examples of $C^1$ -smoothly conjugate diffeomorphisms of the circle with break that are not $C^{1+γ}$ -smoothly conjugate

O. Yu. Teplins’kyi

1092–1105
- PDF (Ukrainian)
- Springer
Modules of continuity and analytic functions

Yu. Yu Trohimchuk

1106–1113
- PDF (Russian)
- Springer
Decomposability of matrix polynomials with commuting coefficients into a product of linear factors

B. Z. Shavarovskyy

1114–1123
- PDF (Ukrainian)
- Springer
Approximation of the classes $S^r_{p,θ}B(\mathbb{R}^d)$ of functions of many variables by entire functions of a special form

S. Ya. Yanchenko

1124–1138
- PDF (Ukrainian)
- Springer

Short communications

On a criterion of rationality for a series in orthogonal polynomials

V. I. Buslaev

1139–1144
- PDF (Russian)
- Springer
On an estimate for the rearrangement of a function from the Muckenhoupt class $A_1$

E. Yu. Leonchik

1145–1148
- PDF (Russian)
- Springer
Approximation of some classes of periodic functions of many variables

R. V. Tovkach

1149–1152
- PDF (Ukrainian)
- Springer