Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces

DOI10.1007/S12044-011-0037-4zbMath1277.43016arXiv0908.2289OpenAlexW2068881874MaRDI QIDQ354011

Mohammad Hasan, M. Dambrine

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2289

zbMATH Keywords

spherical harmonicsspherical meansreal hyperbolic space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Analogs of the Globevnik problem on Riemannian two-point homogeneous spaces ⋮ One problem connected with the Helgason support problem

Cites Work

• Unnamed Item
• Twisted spherical means in annular regions in \(\mathbb C^n\) and support theorems
• Invariant differential operators in hyperbolic space
• Null spaces and ranges for the classical and spherical Radon transforms
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\)
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation
• Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
• Spherical means in annular regions

This page was built for publication: Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces