On the injectivity of twisted spherical means of \(\mathbb{C}^n\)

DOI10.1007/BF02809892zbMath0986.43001OpenAlexW2035940750WikidataQ123140714 ScholiaQ123140714MaRDI QIDQ5935801

Sundaram Thangavelu, G. Sajith

Publication date: 29 May 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02809892

zbMATH Keywords

Heisenberg groupspherical meanstwisted convolution

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (5)

Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ 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 ⋮ Injectivity sets for spherical means on the Heisenberg group

Cites Work

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• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• A uniqueness theorem of Beurling for Fourier transform pairs
• 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
• Uncertainty principles on certain Lie groups
• 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
• Injectivity sets for spherical means on the Heisenberg group

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