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Optimal functions for a periodic uncertainty principle and multiresolution analysis*

Published online by Cambridge University Press:  20 January 2009

Jürgen Prestin  and
Ewald Quak
Jürgen Prestin
Affiliation:
Institute of Biomathematics and Biometry, GSF – National Research Center for Environment and Health 85764 Neuherberg, Germany, E-mail address: [email protected]
Ewald Quak
Affiliation:
Sintef Applied Mathematics, Postboks 124 Blindern N-0314 Oslo, Norway, E-mail address: [email protected]
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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 2 , June 1999 , pp. 225 - 242
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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