Uncertainty Principle corresponding to an orthonormal wavelet system

Orthogonality of a pair of frames over locally compact abelian groups

“…In the last two decades, frame theory on LCA groups has become the focus of an active research, both in theory as well as in applications due to its potential to unify the continuous theory (integral representations) and the discrete theory (series expansions). Several researchers have made remarkable contributions in establishing the theory required to analyse frame properties on such groups (e.g., see [7,8,10,14,18,19,28,29,32,33,41]).…”