Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplacians on generalized smooth distributions as $C^*$-algebra
  multipliers   In this paper, we discuss spectral properties of Laplacians associated with
an arbitrary smooth distribution on a compact manifold. First, we give a survey
of results on generalized smooth distributions on manifolds, Riemannian
structures and associated Laplacians. Then, under the assumption that the
singular foliation generated by the distribution is regular, we prove that the
Laplacian associated with the distribution defines an unbounded multiplier on
the foliation $C^*$-algebra. To this end, we give the construction of a
parametrix.

25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an