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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2019, Volume 105, Issue 3, Pages 375–382 (Mi mz11988)

Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree 2

I. Sh. Jabbarov

Ganja State University

Abstract: The exact value of the convergence exponent of the special integral in the two-dimensional Tarry problem with a homogeneous polynomial of second degree in the exponent of the imaginary exponential is obtained. The result is based on a representation of the trigonometric integral as a Fourier transform.

Keywords: Tarry problem, special integral, convergence exponent, Fourier transform, Plancherel's theorem, Hausdorff–Young inequality.

DOI: https://doi.org/10.4213/mzm11988

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Document Type: Article
UDC: 511+517

Citation: I. Sh. Jabbarov, “Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree 2”, Mat. Zametki, 105:3 (2019), 375–382

Citation in format AMSBIB
\Bibitem{Jab19} \by I.~Sh.~Jabbarov \paper Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree~2 \jour Mat. Zametki \yr 2019 \vol 105 \issue 3 \pages 375--382 \mathnet{http://mi.mathnet.ru/mz11988} \crossref{https://doi.org/10.4213/mzm11988} \elib{http://elibrary.ru/item.asp?id=37045124}