Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space

DOI10.1090/S1061-0022-04-00830-1zbMath1072.31004OpenAlexW1724524304MaRDI QIDQ4831267

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Publication date: 29 December 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-04-00830-1

zbMATH Keywords

quaternionic hyperbolic spacePompeiu transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (6)

Characterization of generalizedperiodic vector fields on hyperbolic space ⋮ Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$ ⋮ ON ONE ZALCMAN PROBLEM FOR THE MEAN VALUE OPERATOR ⋮ Inversion of a Convolution Operator Associated with Spherical Means ⋮ Unnamed Item ⋮ Continuous extension of functions from a segment to functions in \(\mathbb{R}^n\) with zero ball means

Cites Work

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• A definitive version of the local two-radii theorem on hyperbolic spaces
• Functions with zero ball means on the quaternionic hyperbolic space
• A definitive version of the local two-radii theorem

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