Injectivity sets for spherical means on the Heisenberg group

DOI10.1006/jmaa.2001.7636zbMath0995.43003OpenAlexW1996993843WikidataQ122207477 ScholiaQ122207477MaRDI QIDQ5955052

E. K. Narayanan, Sundaram Thangavelu

Publication date: 22 October 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7636

zbMATH Keywords

heat equationHeisenberg groupspherical meansset of injectivitytwisted spherical mean value operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (10)

Boundedness and uniqueness of quaternion Weyl transform ⋮ Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\) ⋮ Twisted spherical means in annular regions in \(\mathbb C^n\) and support theorems ⋮ Sets of injectivity for weighted twisted spherical means and support theorems ⋮ On Strichartz's uncertainty inequality for the Heisenberg group ⋮ Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ Approximation by K-finite functions in \(L^p\) spaces ⋮ A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\) ⋮ Real analytic expansion of spectral projections and extension of the Hecke-Bochner identity ⋮ Non-harmonic cones are sets of injectivity for the twisted spherical means on ℂⁿ

Cites Work

• Unnamed Item
• Unnamed Item
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Spherical means, wave equations, and Hermite-Laguerre expansions
• Injectivity of the Pompeiu transform in the Heisenberg group
• Spherical means and CR functions on the Heisenberg group
• Harmonic analysis on the Heisenberg group
• Approximation by spherical waves in \(L^p\)-spaces
• Injectivity sets for the Radon transform over circles and complete systems of radial functions
• Injectivity sets for spherical means on \(\mathbb{R}^n\) and on symmetric spaces
• Spherical Harmonics, the Weyl Transform and the Fourier Transform on the Heisenberg Group
• Harmonic analysis of the de Rham complex on the sphere.
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
• On the injectivity of twisted spherical means of \(\mathbb{C}^n\)
• Injectivity sets for spherical means on the Heisenberg group

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