A RESULT OF PALEY AND WIENER ON DAMEK–RICCI SPACES

DOI10.1017/S1446788719000077zbMath1443.22010OpenAlexW2943593800MaRDI QIDQ3295249

Mithun Bhowmik

Publication date: 8 July 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000077

zbMATH Keywords

Fourier transformPaley-Wiener theoremDamek-Ricci space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (3)

Analogues of Beurling's theorem for some integral transforms ⋮ Completeness of exponentials and Beurling's theorem on \(\mathbb{R}^n\) and \(\mathbb{T}^n\) ⋮ Gabor transform and Donoho-Stark's U.P. in \(NA\)-groups

Cites Work

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• Un théorème de Paley-Wiener pour la transformation de Fourier sur un espace riemannien symétrique de rang un
• The Radon transform.
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups
• An uncertainty principle of Paley and Wiener on Euclidean motion group
• Curvature of a semi-direct extension of a Heisenberg type nilpotent group
• A class of nonsymmetric harmonic Riemannian spaces
• A Paley-Wiener theorem on NA harmonic spaces
• The Helgason Fourier transform on a class of nonsymmetric harmonic spaces
• Notes on the Theory and Application of Fourier Transforms. I-II
• A Note on Fourier Transforms
• Fourier and Radon transform on harmonic 𝑁𝐴 groups

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