Abstract
In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger in [3J. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties.
| Original language | English |
|---|---|
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 42 |
| Issue number | 2 |
| Pages (from-to) | 225-242 |
| Number of pages | 18 |
| ISSN | 0013-0915 |
| Publication status | Published - 01.12.1999 |
Funding
• Research of the authors supported by NATO CRG Programme, Grant No 950681.
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