Twisted spherical means in annular regions in \(\mathbb C^n\) and support theorems

DOI10.5802/aif.2498zbMath1263.32001arXiv0903.3854OpenAlexW2983988905MaRDI QIDQ848133

N. E. Zubov

Publication date: 22 February 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3854

zbMATH Keywords

Heisenberg groupspherical harmonicstwisted convolutionsupport theoremstwisted spherical means

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis of several complex variables (32A50)

Related Items (3)

Boundedness and uniqueness of quaternion Weyl transform ⋮ Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces ⋮ Sets of injectivity for weighted twisted spherical means and support theorems

Cites Work

• A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\)
• Spherical means in annular regions
• Injectivity sets for spherical means on the Heisenberg group
• Injectivity sets for spherical means on the Heisenberg group
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