Analysis of the affine transformations of the time-frequency plane (Q2721590)
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scientific article; zbMATH DE number 1616261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of the affine transformations of the time-frequency plane |
scientific article; zbMATH DE number 1616261 |
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Analysis of the affine transformations of the time-frequency plane (English)
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10 July 2001
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reproducing formulas
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extended metaplectic representation
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commutative von Neumann algebras
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The authors examine reproducing formulas coming from restrictions of the extended metaplectic representation and commutative von Neumann algebras generated by the value of the extended metaplectic representation on one-parameter subgroups. They consider two aspects of the action of the extended metaplectic representation of the group \(G\) to affine, measure and orientation preserving maps of the time-frequency plane on \(L^2\) functions on the line. The paper lists, up to equivalence, all possible reproducing formulas arising by restricting the representation to connected Lie subgroups of \(G\).
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