Frames and Riesz bases of twisted shift-invariant spaces in [formula omitted].

In this paper, twisted shift-invariant spaces in L 2 ( R 2 n ) are introduced. Characterizations of orthonormal system and Bessel sequence of twisted translates in L 2 ( R 2 n ) are obtained in terms of Weyl transform. These results appear to be totally different from the classical case of characterizations of orthonormal systems and Bessel sequences of translates in L 2 ( R n ) . Further, characterizations of frames, Riesz basis in twisted shift-invariant spaces in L 2 ( R 2 n ) are also obtained. [ABSTRACT FROM AUTHOR]