The dual frame induced by an invertible frame multiplier

Abstract

The inverse of an invertible frame multiplier can be represented as a multiplier with reciprocal symbol and sequences dual to the original frames. One of the duals is unique with the property that the other one can be arbitrarily chosen, which is shown in this paper for several cases. We also show when the dual induced by the invertible frame multiplier is the canonical dual and when it has the same structure as the original dual.