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// Algebra i Analiz
// Archive
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
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.
Received:
18.10.2022
Fulltext:
PDF file (479 kB)
First page:
PDF file
References
English version:
St. Petersburg Mathematical Journal, 2024,
35
:4,
719–729
©
Steklov Math. Inst. of RAS
, 2025