Frames and Riesz bases of twisted shift-invariant spaces in L2(R2n)

In this paper, twisted shift-invariant spaces in L2(R2n) are introduced. Characterizations of orthonormal system and Bessel sequence of twisted translates in L2(R2n) 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 L2(Rn). Further, characterizations of frames, Riesz basis in twisted shift-invariant spaces in L2(R2n) are also obtained.