Journal article
Dimensional upper bounds for admissible subgroups for the metaplectic representation
Mathematische Nachrichten, v 283(7), pp 982-993
01 Jul 2010
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Abstract
We prove dimensional upper bounds for admissible Lie subgroups H of G = H-d (sic) Sp(d, R), d >= 2. The notion of admissibility captures natural geometric phenomena of the phase space and it is a sufficient condition for a subgroup to be reproducing. It is expressed in terms of absolutely convergent integrals of Wigner distributions, translated by the affine action of the subgroup. We show that dim H <= d(2) + 2d, whereas if H subset of Sp(d, R), then dim H <= d(2) + 1. Both bounds are shown to be optimal. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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Details
- Title
- Dimensional upper bounds for admissible subgroups for the metaplectic representation
- Creators
- E. Cordero - Collegio Carlo AlbertoF. De Mari - University of GenoaK. Nowak - Drexel UniversityA. Tabacco - Polytechnic University of Turin
- Publication Details
- Mathematische Nachrichten, v 283(7), pp 982-993
- Publisher
- Wiley
- Number of pages
- 12
- Grant note
- Progetto MIUR Cofinanziato; Ministry of Education, Universities and Research (MIUR)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Computer Science
- Web of Science ID
- WOS:000280302900004
- Scopus ID
- 2-s2.0-77954647685
- Other Identifier
- 991019168147904721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics