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		\textsf{Uzbek Mathematical Journal} &  \\
		\textsf{20??,\ Volume ??, Issue ?, pp.\pageref{firstpage}-\pageref{lastpage}}\\
		{DOI: 10.29229/uzmj.20??-?-??}\\
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\begin{center}
\textbf{\large Title }\\

\textbf{ Surname Name, Abdurasulov Kobiljon or Abdurasulov K. }
\end{center}

\textbf{Abstract.}

\textbf{Keywords:}

\textbf{MSC (2020):}


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\section{Introduction}


Complete systems of global invariants of paths and curves in the Euclidean space are investigated in papers \cite{AlexEric, Green}. A complete system of global invariants of surfaces and vector fields in the Euclidean space are investigated in papers \cite{Burgin}. Complete systems of global invariants of parametric figures in the Affine space are investigated in papers \cite{IkromovUsmonov}.


\subsection{ Preliminaries}

 Let $T$ be a set which has at least two elements. Denote by $\Phi (T, E_{n})$  the set of all mappings of the $T$ to $E_{n}$. Let $G$ be a subgroup of the group $MO(n,R)$.

\begin{defn}\label{def 1}.
Two $T$-figures $\gamma (t)$ and $\eta (t)$ in $E_{n}$ are called $G$-equivalent if there exists $g\in G$ such that $\eta (t)=g\gamma (t), \forall t\in T$ and it is represented by $\gamma (t)\stackrel{G}{\sim }\eta (t),\forall t\in T$.
\end{defn}

Regarding algebraic systems, we note that the algorithmic complexities of all basic relations (including equality) can be, generally speaking, whatever.

\begin{defn}\label{1def2}
If $ \mu $ is an algorithmic representation of the system $ \mathfrak{M} $, then the pair $ (\mathfrak{M}, \mu) $ is called a numbered system.
\end{defn}

All homomorphisms of numbered systems considered by us are computable, that is, are supported by functions computable on representations in the following sense (see \cite{Nagel}, p. 35).



\section{???}

\begin{prop} \label{1prop1}
???
\end{prop}
\begin{proof}

\end{proof}


\begin{thm} \label{thm1}
???
\end{thm}
\begin{proof}
djvnklasdkmv.lasdfvmalfb
\end{proof}

\begin{rem}
???
\end{rem}

\begin{prop}\label{prop1}
???
\end{prop}
\begin{proof}
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\end{proof}

\begin{thebibliography}{99}
\bibitem{Burgin} Bourgain~J.; Averages in the plane convex cuves and maximal operators. J.Anal.Math.,--1986.--47.--P.69-85.

\bibitem{Green} Greenleaf A.; Principal curvature and harmonic analysis. Indiana Univ. Math. J.,--1981.--30.--No4.--P.519--537.

\bibitem{IkromovKempe} Ikromov I. A., Kempe M., M\"{u}ller D.; Estimates for maximal functions assosiated to hypersurfaces in $R^3$ and related problems of harmonic analysis. Acta Math.,--2010.-204.--P.151-271

\bibitem{IkromovUsmonov} Ikromov I.A., Usmanov S.E.; On the Boundedness of Maximal Operations Associated with Hypersurfaces. Modern Mathematics. fundamental directions. --Page 1--27.

\bibitem{Ikromov} Ikromov I.A., M\"{u}ller D.; Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194). Princeton University Press.--2016.

\bibitem{Iosevichsoyer} Iosevich~A., Sawyer~E.; Maximal Averages over surfaces. Adv. in Math.,--1997.--132.--46.--P.119--187.

\bibitem{AlexEric} Iosevich~A., Sawyer~E.; Oscillatory integrals and maximal averages over homogeneous surfaces. Duke Math.,--1996.--82.--1.--P.103--131.

\bibitem{Nagel} Nagel A., Seeger A. and Wainger S.;  Averages over convex hypersurfaces. Amer.J.Math.,--1993.--115.--4.--P.903--927.

\bibitem{Shulz} Schulz H.; Convex hypersurfaces of finite type and the asymptotics of their Fourier transforms. Indiana Univ. Math. J. --1999. --40.--No4.--P.1267--1275.
\end{thebibliography}

{\small
\begin{tabular}{p{9cm}}

   Ibragimov G.I. ,\\
   Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia\\
    email: ibragimov@upm.edu.my\\

\end{tabular}
}

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