Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on
  orthogonal series   We prove that the classical Menshov-Rademacher, Orlicz, and Tandori theorems
remain true for orthogonal series given in the direct integrals of measurable
collections of Hilbert spaces. In particular, these theorems are true for the
spaces L_{2}(X,d\mu;H) of vector-valued functions, where (X,\mu) is an
arbitrary measure space, and H is a real or complex Hilbert space of an
arbitrary dimension.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph