Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sonine Transform Associated to the Bessel-Struve Operator   In this paper we consider the Bessel-Struve operator $l_\alpha$ and the
Bessel-Struve intertwining operator $\chi_\alpha$ and its dual, we define and
study the Bessel-Struve Sonine transform $S_{\alpha,\beta}$ on
$\mathcal{E}(\mathbb{R})$. We prove that $S_{\alpha,\beta}$ is a transmutation
operator from $l_\alpha$ into $l_\beta$ on $\mathcal{E}(\mathbb{R})$ and we
deduce similar result for its dual $S_{\alpha,\beta}^*$ on
$\mathcal{E}'(\mathbb{R})$. Furthermore, invoking Weyl integral transform and
the Dual Sonine transform $^tS_{\alpha,\beta}$ on $\mathcal{D}(\mathbb{R})$, we
get a relation between the Bessel-Struve transforms $\mathcal{F}^\alpha_{BS} $
and $\mathcal{F}^\beta_{BS} $.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: physics