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# Authorisation

# Uniform convergence of partial sums of Fourier-Vilenkin series

Author: gvantsa shavardenidzeKeywords: partial sum, uniform convergence, Fourier-Vilenkin series

# Thir symetric cohomology group characterization with crossed-module extensions

Author: Ilia Nanobashvili# The presentation of number with quadratic forms

Author: Giorgi JulakidzeKeywords: Quadratic

# On Oscillatory Properties of Solutions of Functional Differential Equations

Author: nino maraneli# Some approximate solutions of singular integral equation method Colocation

Author: Zviadi Kalichava# Some fundamental topics in the theory of real-valued functions and their applications in harmonic analysis

Author: Giorgi GognadzeKeywords: Maximal function, distribution functions, singular integrals

# Nontrivial Point Sets on the Real Line

Author: Mariam BeriashviliKeywords: Point Sets, Axiom of Choice, Continuum Hypothesis, Martin's Axiom

# Maximal Functions and their Applications in Harmonical analysis

Author: Natalia Nebulishvili# About resolution ob one nonlocal boundary value problem bor Laplace oquation

Author: nana shelia# Ergodic maximal function and it's applications

Author: Giorgi RukhaiaKeywords: Ergodic thory, katz theorem, Ergodic maximal function, Ergodic maximal theorem, main Ergodic theorem

# Parametric hypotheses and statistical conclusions for two samples tasks

Author: maia bobokhidze# Variation formulas of solution for two delay parameters functional differential equation with the continuous initial condition

Author: natia gigauri# Dirichlet,Neumann and Mixed boundary value problems for Helmholtz equation in a planar domains with angular points at the boundary

Author: Medea TsaavaKeywords: Helmholtz equation, Boundary value problems, Mixed boundary condition, Potential methods, Boundary integral equations, Fredholm criteria, Symbol, Banach algebra of operators, Mellin convolution equations, Meromorphic kernels. Bessel potential spaces.

# On the Positive Solutions of Discrete Equations in Infinite Interval

Author: Tamta Tsutsunava# Numerical methods for first order hyperbolic equations

Author: Tamari JanelidzeKeywords: numerical method, hyperbolic equation, approximation

# On the approximation of periodic functions by trigonometric polynomials in some new function spaces

Author: nina danelia# new method of constructing compact wavelet functions

Author: Beka Ergemlidze# non-abelian tenzor product of groups

Author: Giorgi Arabidze# Kernel density estimations and plug-in integral functional

Author: Giorgi Narimanidze# Polynomial Matrix Functions and Compact Wavelets

Author: Nika SaliaKeywords: Wavelet matrices, paraunitary matrix polynomials, Winer-Hopf factorization, Wavelet matrix completion algorithm, spectral factorization, matrix decomposition.

# Linear topological spaces

Author: valeri berikashviliKeywords: Topological space; open set; closed set; neighborhood; net; compact set

# On The Maximal Operators Of NĂ¶rlund Means Of One And Two Dimensional Walsh-Fourier And Kachzmarz-Fourier Series

Author: George TephnadzeCo-authors: 0

Keywords: NĂ¶rlund means, Walsh system, Kachzmarz system