Positive Weight Function and Classification of g-Frames. (10th June 2020) - Poria, Anirudha
Abstract: Given a positive weight function and an isometry map on a Hilbert spaces H, we study a class of linear maps which is a g -frame, g -Riesz basis, and a g -orthonormal basis for H with respect to C in terms of the weight function. We apply our results to study the frame for shift-invariant subspaces on the Heisenberg group.