Density of Frame Wavelets and Tight Frame Wavelets in Local Fields
Complex Analysis and Operator Theory
We show that the set of frame wavelets in a local field K is dense in both L2(K) and L2(K, | ξ| - 1dξ) , and that every function in L2(K) can be approximated by an asymptotically tight sequence of frame wavelets. Next, we show that the set of tight frame wavelets is not dense in L2(K). Further, we give a necessary condition and a sufficient condition for a function to be in the closure of the set of tight frame wavelets.
Behera, Biswaranjan, "Density of Frame Wavelets and Tight Frame Wavelets in Local Fields" (2021). Journal Articles. 1812.