D. Stolyarov, “On Fourier multipliers with rapidly oscillating symbols”, Algebra i Analiz, 35:4 (2023), 167–182; St. Petersburg Math. J., 35:4 (2024), 719

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Algebra i Analiz, 2023, Volume 35, Issue 4, Pages 167–182 (Mi aa1877)

Research Papers

On Fourier multipliers with rapidly oscillating symbols

D. Stolyarov

Saint Petersburg State University

Full-text PDF (479 kB) First page

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Abstract: We provide asymptotically sharp bounds for the

$L_p$ norms of the Fourier multipliers with symbols

$e^{i\lambda \varphi(\xi/|\xi|)}$ , where

$\lambda\in \mathbb{R}$ is a large parameter.

Keywords: Fourier multiplier, oscillatory integral.

Funding agency	Grant number
Russian Science Foundation	19-71-30002

Received: 18.10.2022

English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 4, Pages 719–729
DOI: https://doi.org/10.1090/spmj/1823

Document Type: Article

Language: Russian

Citation: D. Stolyarov, “On Fourier multipliers with rapidly oscillating symbols”, Algebra i Analiz, 35:4 (2023), 167–182; St. Petersburg Math. J., 35:4 (2024), 719–729

Citation in format AMSBIB

\Bibitem{Sto23}

\by D.~Stolyarov

\paper On Fourier multipliers with rapidly oscillating symbols

\jour Algebra i Analiz

\yr 2023

\vol 35

\issue 4

\pages 167--182

\mathnet{http://mi.mathnet.ru/aa1877}

\transl

\jour St. Petersburg Math. J.

\yr 2024

\vol 35

\issue 4

\pages 719--729

\crossref{https://doi.org/10.1090/spmj/1823}

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https://www.mathnet.ru/eng/aa1877

https://www.mathnet.ru/eng/aa/v35/i4/p167

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	99
Full-text PDF :	3
References:	29
First page:	17

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