Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On representations of real Jacobi groups   We consider a category of continuous Hilbert space representations and a
category of smooth Frechet representations, of a real Jacobi group $G$. By
Mackey's theory, they are respectively equivalent to certain categories of
representations of a real reductive group $\widetilde L$. Within these
categories, we show that the two functors of taking smooth vectors for $G$, and
for $\widetilde L$, are consistent with each other. By using
Casselman-Wallach's theory of smooth representations of real reductive groups,
we define matrix coefficients for distributional vectors of certain
representations of $G$. We also formulate Gelfand-Kazhdan criteria for Jacobi
groups which could be used to prove the multiplicity one theorem for
Fourier-Jacobi models.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci