Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple operator integrals and higher operator derivatives   In this paper we consider the problem of the existence of higher derivatives
of the function $t\mapsto\f(A+tK)$, where $\f$ is a function on the real line,
$A$ is a self-adjoint operator, and $K$ is a bounded self-adjoint operator. We
improve earlier results by Sten'kin. In order to do this, we give a new
approach to multiple operator integrals. This approach improves the earlier
approach given by Sten'kin. We also consider a similar problem for unitary
operators.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th