On estimates for trigonometric integrals with quadratic phase
I.A. Ikromov, A.R. Safarov, A.T. Absalamov
TL;DR
This paper extends previous results on estimates for one-dimensional trigonometric integrals with quadratic phase to multidimensional cases, providing a broader understanding of their summation properties.
Contribution
It generalizes existing estimates for quadratic phase trigonometric integrals from one dimension to multiple dimensions.
Findings
Extended estimates to multidimensional integrals
Unified approach for various cases of quadratic phases
Improved bounds for summation of these integrals
Abstract
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.
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Taxonomy
TopicsMathematical Approximation and Integration · Differential Equations and Boundary Problems · Algebraic and Geometric Analysis