Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A four dimensional Bernstein Theorem   We prove a four dimensional version of the Bernstein Theorem, with complex
polynomials being replaced by quaternionic polynomials. We deduce from the
theorem a quaternionic Bernstein's inequality and give a formulation of this
last result in terms of four-dimensional zonal harmonics and Gegenbauer
polynomials.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas