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Matematicheskie Zametki, 2019, Volume 105, Issue 3, Pages 375–382
DOI: https://doi.org/10.4213/mzm11988 (Mi mzm11988) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

I. Sh. Jabbarov

Ganja State University
Full-text PDF (427 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11988
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.
Received: 12.02.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 3, Pages 359–365
DOI: https://doi.org/10.1134/S0001434619030064
Bibliographic databases:
Document Type: Article
UDC: 511+517
Language: Russian
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; Math. Notes, 105:3 (2019), 359–365
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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