Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear representations of SU(2) described by using Kravchuk polynomials   We show that a new unitary transform with characteristics almost similar to
those of the finite Fourier transform can be defined in any finite-dimensional
Hilbert space. It is defined by using the Kravchuk polynomials, and we call it
Kravchuk transform. Some of its properties are investigated and used in order
to obtain a simple alternative description for the irreducible representations
of the Lie algebra su(2) and group SU(2). Our approach offers a deeper insight
into the structure of the linear representations of SU(2) and new possibilities
of computation, very useful in applications in quantum mechanics, quantum
information, signal and image processing.

1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con