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arXiv · 1302.0407

On the unbounded of a class of Fourier integral operator on $L^2(R^n)$

Abderrahmane Senoussaoui
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Abstract

In this paper, we give an example of Fourier integral operator with a symbol belongs to $\bigcap\limits_{0<\rho <1}S_{\rho,1}^{0}$ that cannot be extended as a bounded operator on $L^{2}(\mathbb{R}^{n}).$

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Abderrahmane Senoussaoui. 2013-02-02. On the unbounded of a class of Fourier integral operator on $L^2(R^n)$. https://arxiv.org/abs/1302.0407

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