U-cross Gram matrixes and their associated reconstructions

In this paper, we study U-cross Gram matrixes, which can be produced by frames and Riesz bases,and their properties. Then we investigate some necessary or su cient conditions for invertibility of this matrixes and try to reconstruct the elements of 2. It is important in application to state the inverse of U-cross Gram matrixes as the form of U-cross Gram matrixes

Keywords:

U-cross Gram matrix , cross Gram matrix , Gram matrix , inverse