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.
Reproducing subgroups for the metaplectic representation
DE MARI CASARETO DAL VERME, FILIPPO;
2006-01-01
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
