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Paley-Wiener-type theorem for nilpotent Lie groups

✍ Scribed by V. V. Kisil’

Book ID
110547980
Publisher
Springer
Year
1998
Tongue
English
Weight
551 KB
Volume
50
Category
Article
ISSN
0041-5995

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📜 SIMILAR VOLUMES

A Paley-Wiener Theorem for Selected Nilp
A Paley-Wiener Theorem for Selected Nilpotent Lie Groups
✍ J.D. Moss 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 593 KB

This paper concerns itself with the problem of generalizing to nilpotent Lie groups a weak form of the classical Paley-Wiener theorem for \(\mathbb{R}^{n}\). The generalization is accomplished for a large subclass of nilpotent Lie groups, as well as for an interesting example not in this subclass. T

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The Paley–Wiener theorem for certain nilpotent Lie groupsJean
✍ Jean Ludwig; Carine Molitor–Braun 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 243 KB

## Abstract We generalize the classical Paley–Wiener theorem to special types of connected, simply connected, nilpotent Lie groups: First we consider nilpotent Lie groups whose Lie algebra admits an ideal which is a polarization for a dense subset of generic linear forms on the Lie algebra. Then we

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✍ R. Park 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 918 KB

A Paley-Wiener theorem for all connected, simply-connected two- and three-step nilpotent Lie groups is proved. If \(f \in L_{i}^{x}(G)\), where \(G\) is a connected, simplyconnected two- or three-step nilpotent Lie group such that the operator-valued Fourier transform \(\hat{\varphi}(\pi)=0\) for al