A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\)
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Publication:2488758
DOI10.5802/aif.2189zbMath1089.43006OpenAlexW2091764239MaRDI QIDQ2488758
E. K. Narayanan, Sundaram Thangavelu
Publication date: 15 May 2006
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_2_459_0
Convolution as an integral transform (44A35) Analysis on real and complex Lie groups (22E30) Integral geometry (53C65) Analysis on other specific Lie groups (43A80)
Related Items (8)
Boundedness and uniqueness of quaternion Weyl transform ⋮ Twisted spherical means in annular regions in \(\mathbb C^n\) and support theorems ⋮ Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces ⋮ Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ The range of the spectral projection associated with the Dunkl Laplacian ⋮ Sets of injectivity for weighted twisted spherical means and support theorems ⋮ A support theorem for the Dunkl spherical mean operator ⋮ Paley‐Wiener estimates for the Heisenberg group
Cites Work
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- A spectral Paley-Wiener theorem
- Harmonic analysis as spectral theory of Laplacians
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- Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems
- Spherical means in annular regions
- On the injectivity of twisted spherical means of \(\mathbb{C}^n\)
- Injectivity sets for spherical means on the Heisenberg group
- Injectivity sets for spherical means on the Heisenberg group
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