Noncommutative radial waves

We study radial waves in (2+1)-dimensional noncommutative scalar field theory, using operatorial methods. The waves propagate along a discrete radial coordinate and are described by finite series deformations of Bessel-type functions. At radius much larger than the noncommutativity scale $\sqrt{\theta}$, one recovers the usual commutative behaviour. At small distances, classical divergences are smoothed out by noncommutativity.