Injectivity sets for spherical means on the Heisenberg group

DOI10.1007/bf01259377zbMath0931.43007WikidataQ123300674 ScholiaQ123300674MaRDI QIDQ6205148

Rama Rawat, Mark L. Agranovsky

Publication date: 21 February 2000

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

Full work available at URL: https://eudml.org/doc/59612

zbMATH Keywords

Laguerre functionsRadon transformHeisenberg grouphypergeometric functionsspherical meanstwisted spherical means

Mathematics Subject Classification ID

Radon transform (44A12) Analysis on other specific Lie groups (43A80)

Related Items (11)

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 ⋮ Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ Approximation by K-finite functions in \(L^p\) spaces ⋮ On the injectivity of twisted spherical means of \(\mathbb{C}^n\) ⋮ 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 ⋮ Geometry of stationary sets for the wave equation in \(\mathbb R^n\): the case of finitely supported initial data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform
• Injectivity of the Pompeiu transform in 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
• Conical Uniqueness Sets for the Spherical Radon Transform

This page was built for publication: Injectivity sets for spherical means on the Heisenberg group