Optimal functions for a periodic uncertainty principle and multiresolution analysis
Jürgen Prestin, Ewald G. Quak · Proceedings of the Edinburgh Mathematical Society · 1999
In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger in [3]. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties.