What is it about?
In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties.
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This page is a summary of: Optimal functions for a periodic uncertainty principle and multiresolution analysis, Proceedings of the Edinburgh Mathematical Society, June 1999, Cambridge University Press,
DOI: 10.1017/s0013091500020216.
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