Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$ estimates for an oscillating Dunkl multiplier   In this paper, we study the $L^p$ boundedness of a class of oscillating
multiplier operator for the Dunkl transform,
$T_{m_\alpha}=\mathcal{F}_k^{-1}(m_{\alpha}\mathcal{F}_k(f))$ with
$m(\xi)=|\xi|^{-\alpha}e^{\pm i|\xi|}\phi(\xi)$. We obtain an $L^p$-bound
result for the corresponding maximal functions. As a specific applications, we
give an extension of the $L^p$ estimate for the wave equation and of Stein's
theorem for the analytic family of maximal spherical means \cite{Stein}

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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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: mtrl-th