Conference proceeding
Reproducing groups for the metaplectic representation
PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS, Vol.164
Operator Theory Advances and Applications
01 Jan 2006
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We consider the (extended) metaplectic representation of the semi-direct product G of the symplectic group and the Heisenberg group. By looking at the standard resolution of the identity formula and inspired by previous work [5], [13], [4], we introduce the notion of admissible (reproducing) subgroup of G via the Wigner distribution. We prove some features of admissible groups and then exhibit an explicit example (d = 2) of such a group, in connection with wavelet theory.
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Details
- Title
- Reproducing groups for the metaplectic representation
- Creators
- E. Cordero - Politecn Torino, Dipartimento Matemat, Corso Duca Abruzzi,24, I-10129 Turin, ItalyF. De Mari - DIPTEM, I-16129 Genoa, ItalyK. Nowak - Drexel UniversityA. Tabacco - Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
- Contributors
- P Boggiatto (Editor)L Rodino (Editor)J Toft (Editor)M W Wong (Editor)
- Publication Details
- PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS, Vol.164
- Series
- Operator Theory Advances and Applications
- Publisher
- Walter De Gruyter
- Number of pages
- 3
- Grant note
- Progetto MIUR Cofinanziato; Ministry of Education, Universities and Research (MIUR)
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Computer Science (Computing)
- Identifiers
- 991019170507704721
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- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied