On estimates for trigonometric integrals with quadratic phase

DOI10.22405/2226-8383-2024-25-1-52-61zbMATH Open1541.11065MaRDI QIDQ6570122

Akbar Rakhmanovich Safarov, Isroil Akramovich Ikromov, Akmal Tolliboevich Absalamov

Publication date: 10 July 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

phaseexponentpolynomialsumstrigonometrical integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Trigonometric and exponential sums (general theory) (11L03) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

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• On the Fourier transform of the characteristic functions of domains with \(C^1\) boundary
• Restriction of the Fourier transform to a quadratic surface in \(\mathbb{R}^n\)
• Invariant estimates of two-dimensional oscillatory integrals
• On a problem of restriction of Fourier transform on a hypersurface
• On the $L^p$-bound for trigonometric integrals
• On Invariant Estimates for Oscillatory Integrals with Polynomial Phase

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