Equality cases for the uncertainty principle in finite Abelian groups
We consider the families of finite Abelian groups Z/pZ x Z/pZ, Z/p 2 Z and Z/pZ x Z/gZ for p, q two distinct prime numbers. For the two first families we give a simple characterization of all functions whose support has cardinality k while the size of the spectrum satisfies a minimality condition. W...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 3-4 |
| Kulcsszavak: | Matematika, Abel-csoport |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/32906 |
| Tartalmi kivonat: | We consider the families of finite Abelian groups Z/pZ x Z/pZ, Z/p 2 Z and Z/pZ x Z/gZ for p, q two distinct prime numbers. For the two first families we give a simple characterization of all functions whose support has cardinality k while the size of the spectrum satisfies a minimality condition. We do it for a large number of values of k in the third case. Such equality cases were previously known when k divides the cardinality of the group, or for groups Z/pZ. |
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| Terjedelem/Fizikai jellemzők: | 507-528 |
| ISSN: | 0001-6969 |