Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A fundamental identity for Parseval frames   In this paper we establish a suprising fundamental identity for Parseval
frames in a Hilbert space. Several variations of this result are given,
including an extension to general frames. Finally, we discuss the derived
results.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ