Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On summability of distributions and spectral geometry   Modulo the moment asymptotic expansion, the Cesaro and parametric behaviours
of distributions at infinity are equivalent. On the strength of this result, we
construct the asymptotic analysis for spectral densities, arising from elliptic
pseudodifferential operators. We show how Cesaro developments lead to efficient
calculations of the expansion coefficients of counting number functionals and
Green functions. The bosonic action functional proposed by Chamseddine and
Connes can more generally be validated as a Cesaro asymptotic development.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc