Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restriction Theorem for Oscillatory Integral Operator with Certain
  Polynomial Phase   We consider the following oscillatory integral operator
\begin{equation}\label{opera-defi-1}
  T_{\alpha,m}f(x)=\int_{\mathbb R^n}e^{i(x_1^{\alpha_1}
y_1^m+\cdots+x_n^{\alpha_n} y_n^m)}f(y)dy, \end{equation} where the function
$f$ is a Schwartz function. In this paper, the restriction theorem on
$\mathbb{S}^{n-1}$ for this operator is obtained. Moreover, we obtain a
necessary condition which ensures the restriction theorem hold.

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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph