Segal-Bargmann transform and Paley-Wiener theorems on motion groups (Q710662)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Segal-Bargmann transform and Paley-Wiener theorems on motion groups |
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Segal-Bargmann transform and Paley-Wiener theorems on motion groups (English)
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20 October 2010
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The author studies the Segal-Bargmann transform on a motion group \(\mathbb R^n \ltimes K\), where \(K\) is a compact subgroup of \(SO(n)\). A characterization of the Poisson integrals associated to the Laplacian on \(\mathbb R^n \ltimes K\) is given. He also establishes a Paley-Wiener type theorem using complexified representations.
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Segal-Bargmann transform
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Poisson integrals
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Paley-Wiener theorems
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