Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-classical analysis on H-type groups   In this paper, we develop a semi-classical analysis on H-type groups. We
define semi-classical pseudodifferential operators, prove the boundedness of
their action on square integrable functions and develop a symbolic calculus.
Then, we define the semi-classical measures of bounded families of square
integrable functions which consists of a pair formed by a measure defined on
the product of the group and its unitary dual, and by a field of trace class
positive operators acting on the Hilbert spaces of the representations. We
illustrate the theory by analyzing examples, which show in particular that this
semi-classical analysis takes into account the finite-dimensioned
representations of the group, even though they are negligible with respect to
the Plancherel measure.

22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int