On Fourier multipliers with rapidly oscillating symbols

Stolyarov, D.

doi:10.1090/spmj/1823

On Fourier multipliers with rapidly oscillating symbols
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by D. Stolyarov;
Translated by: the author

St. Petersburg Math. J. 35 (2024), 719-729

DOI: https://doi.org/10.1090/spmj/1823

Published electronically: October 4, 2024

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Abstract:

Asymptotically sharp bounds are provided 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.

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