Importance of Zak transforms for harmonic analysis (Q2888981)
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scientific article; zbMATH DE number 6042805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Importance of Zak transforms for harmonic analysis |
scientific article; zbMATH DE number 6042805 |
Statements
4 June 2012
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locally compact Abelian groups
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Zak transforms
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Fourier transforms
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Importance of Zak transforms for harmonic analysis (English)
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The author proves the Plancherel theorem for locally compact Abelian (LCA) groups via Zak transforms, based on the fact that Fourier integrals are averages of Zak transforms for any choice of a lattice. He also derives and applies generalized Zak transforms intertwining certain unitary representations of LCA groups with modulation representations.
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