Symmetrical R-duals of type III and a representation of its frame operators
In 2015, Stoeva and Christensen introduced different types of R-duals. A very important distinction of these types of R-duals is that type III is not symmetrical. However by choosing an appropriate sequence and applying mild technical change, we characterize symmetrical type III of R-duals. Given the associated frame of this symmetrical R-duals, we achieved a representation for square root of its inverse.