Admissibility for a class of subgroups of the metaplectic group

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dc.contributor.authorEckart Schulz
dc.contributor.authorKampanat Namgam
dc.date.accessioned2025-07-21T06:00:59Z
dc.date.issued2019-01-01
dc.description.abstractA class of subgroups of the symplectic group is introduced that take the form of a semidirect product arising from the action of a matrix group on a linear space. It is shown that the groups are isomorphic to subgroups of the affine group, and their metaplectic representation is equivalent to a sum of subrepresentations of the wavelet representation. Using this equivalence, admissibility conditions for the metaplectic representation are derived.
dc.identifier.doi10.1063/1.5125082
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/8012
dc.subjectSemidirect product
dc.subjectSymplectic group
dc.subjectMatrix representation
dc.subjectRepresentation
dc.subjectGeneral linear group
dc.subject.classificationMathematical Analysis and Transform Methods
dc.titleAdmissibility for a class of subgroups of the metaplectic group
dc.typeArticle

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