Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hardy's inequality for Hermite expansions   Sharp multi-dimensional Hardy's inequality for the Laguerre functions of
Hermite type is proved for the type parameter $\al\in[-1/2,\infty)^d$. As a
consequence we obtain the corresponding result for the generalized Hermite
expansions. In particular, it validate that the known version of Hardy's
inequality for the Hermite functions is sharp.

7
The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
18
The categories of this paper are: econ