Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending coherent state transforms to Clifford analysis   We introduce two extensions of the Segal-Bargmann coherent state transform
from $L^2({\mathbb R},dx)$ to Hilbert spaces of slice monogenic and axial
monogenic functions and study their properties. These two transforms are
related by the dual Radon transform. Representation theoretic and quantum
mechanical aspects of the new representations are studied.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat