arXiv subjects

A. R. Safarov

Publications and source records attributed to A. R. Safarov.

2 recordsLinked to original sources

arXiv2022

Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4

In this paper we consider the uniform estimates for oscillatory integrals with a two-order homogeneous polynomial phase. The estimate is sharp and the result is an analogue of the more general theorem of V. N. Karpushkin \cite{Karpushkin1983} for sufficiently smooth functions.

math-ph↗

arXiv2021

On estimates for trigonometric integrals with quadratic phase

In paper this paper it is considered the summation problem for trigonometric integrals with quadratic phase. This problem considered in the papers \cite{Chub},\cite{Chax},\cite{Jabbar} in particular cases. Our results generalized the results of that papers to multidimensional trigonometrical integrals.

math.CA↗