Metaplectic operators for finite Abelian groups and \(\mathbb R^d\) (Q963239)
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scientific article; zbMATH DE number 5691189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metaplectic operators for finite Abelian groups and \(\mathbb R^d\) |
scientific article; zbMATH DE number 5691189 |
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Metaplectic operators for finite Abelian groups and \(\mathbb R^d\) (English)
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8 April 2010
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The authors describe an explicit construction of an intertwining operator, also called metaplectic operator, for the case of finite abelian groups. This setting is important in time-frequency analysis, particularly for the finite approximation of multivariate Gabor frames. The described approach to the finite case also implies a simple construction for the multivariate Euclidean case.
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metaplectic representation
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Heisenberg group
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symplectic homomorphism
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time-frequency shift operator
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