Frames and Riesz bases of twisted shift-invariant spaces in L-2(R-2n)

摘要

In this paper, twisted shift-invariant spaces in L-2(R-2n) are introduced. Characterizations of orthonormal system and Bessel sequence of twisted translates in L-2(R-2n) 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-2n) are also obtained. (C) 2015 Elsevier Inc. All rights reserved.