Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Laplace-Beltrami operator on compact complex spaces   Let $(X,h)$ be a compact and irreducible Hermitian complex space of complex
dimension $v>1$. In this paper we show that the Friedrichs extension of both
the Laplace-Beltrami operator and the Hodge-Kodaira Laplacian acting on
functions has discrete spectrum. Moreover we provide some estimates for the
growth of the corresponding eigenvalues and we use these estimates to deduce
that the associated heat operators are trace-class. Finally we give various
applications to the Hodge-Dolbeault operator and to the Hodge-Kodaira Laplacian
in the setting of Hermitian complex spaces of complex dimension $2$.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol