Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct integrals and spectral averaging   A one parameter family of selfadjoint operators gives rise to a corresponding
direct integral. We show how to use the Putnam Kato theorem to obtain a new
method for the proof of a spectral averaging result.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga