Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Non-Vanishing of Poincar\'{e} Series on the Metaplectic Group   In this paper, we study the $ K $-finite matrix coefficients of integrable
representations of the metaplectic cover of $ \mathrm{SL}_2(\mathbb R) $ and
give a result on the non-vanishing of their Poincar\'{e} series. We do this by
adapting the techniques developed for $ \mathrm{SL}_2(\mathbb R) $ by Mui\'{c}
to the case of the metaplectic group.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ