*Reports of Enlarged Session of the Seminar of
I. Vekua Institute of Applied Mathematics*

Volume
5, # 2, 1990

This
Volume is Dedicated to prof.
Z.Chanturia’s Memory.

This collection contains the
reports which were delivered on April 23-25, 1990 at the section of Theory of
Functions Differential Equations of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics.

Chairman of seminar

*L. Magnaradze*

Edited by

*L. Gogoladze*

C O N T E N T S

**Ambroladze**** M.** On the Continuous Weight ,
ortogonal polinoms are
unbounded

**Amer**** M.** On the Nerlund’s
Summability of Trigonometrical
Furie Series in the Some Functional Spaces.

**Andrienko**** V.** Approximation of Negative Order of Multiple Ortogonal Series by Rits’s Means.

**Babaev**** M-B.** Approximation of Product of
Functions Smaller-Dimension by Sums.

**Balashova**** G.** On the imbeddings
Theorems of Infinit Order Sobolev
Spaces.

**Baskakov**** V.** On the Linear Approximation
of Periodic Continuous and Conjugete Functions.

**Bochkariov**** S.** Permutations of Periodic Multiple Ortogonal Series.

**Gadjiev**** A., Aliev
N. B**-Parabolic Potentionals :
Deffinitions, Propertys and
Formuls of Inversions.

**Gadjieva**** E.** Inversions Weight’s Spaces of Nikolski-Besov.

**Gaposhkin**** V.** On the Summability
of Functional Sequences With Chezaro’s
Methods.

**Gogatishvili**** A.** Rits’s
Transformation and Maximal Functions in Mory-Kampanato
Type Spaces and in Weight Zigmound’s Spaces.

**Gogladze**** L., Pilauri
N.** On the Approximatical Propertys
of Angular Mean of Chezaro.

**Davidov**** O.** On One P.Butcer and V.Dicmeis’s Problem .

**Dzagnidze**** O.** A- Summability Furie-Laplace’s Series,

**Diachenko**** M.** On the Convergence of Furie’s
Series of Monotone Multy-Dimension Functions.

**Zarnadze**** D**. Remark On the Gomomorphizm’s
Theorem .

**Kazarian**** K., Ulianov
P.** Aleksich’s Problem On the
Divergent of Furie’s Ortogonal
Series.

**Kvernadze****.**** G.** On the Convergence of Furie-Iakobi’s
Series.

**Koniagin**** S.** On the Convergence of
Subsequence of Ortogonal Particular Summs of Double Trigonometrical Furie’s Series Almost Everywhere.

**Lim Kho.** On the Absolut Convergence of Furie-Chislenko’s
Series.

**Magnaradze**** L.** On the Integral Furie
Transformation With Non-Summable
Weight.

**Meskhia**** R.** On the Sequences of
convergences.

**Ovsepian**** R.** Uniqueness Theorems for the Centered Functions
Systems.

**Pavliashvili**** G.** On the Deviation’s Estimate

**Pachulia**** N.** On the Stronge Summability of Furie’s Series With Variable Order.

**Rodin**** V.** Totic’s Hipothes for the Kreston and Uolsh’s Systems.

**Stokolos**** A.** On the Stronge
Differentiability of Integrals of Functions in the $H_1^\omega (I^N)$.

**Talalian**** An.** On the Uolsh’s
Series With Bounded Particular Summs in L_{1 }[0,1].

**Temliakov**** V.** On the Diameter’s Estimates

**Tetunashvili**** Sh.** On the Uniqueness
Theorem for Divisible Series.

**Tkebuchava**** G.** On One Bounded Ortonormal
System of Functions.

**Ugulava**** D.** On the Valle-Pussen’s
Problem in H_{p}_{,
}0<p<1.

**Hatib**** M.** On the One-Dimensional Fractional Integrals in
$H_p^\omega$.

**Ianakov**** G.** Estimation of Deviation from Conjugate
Function Some Class Singular Operators.