ABSTRACT
In even dimensional Euclidean space R 2'1 one can define a symplectic scalar product apart of the usual Euclidean one. Using the symplectic structure of R 2'1 one can define a twisted convolution and a twisted product of functions and distributions. They are bilinear operators that appear in different places in analysis: the representation theory of Heisen berg groups [11], the Weyl calculus of pseudo-differential operators [2], the phase-space quantum mechanics [3]. The basic information about the twisted product and convolution can be found in [2, 3, 9]. In the paper we investigate the action of the twisted product in Besov spaces Bsp q(Rltl). The special case with p = 2 was investigated earlier by G. Bohnke, cf. [1].
