Inversion of the local Pompeiu transformation on a quaternionic hyperbolic space.
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Publication:1432706
zbMath1041.43005MaRDI QIDQ1432706
Publication date: 15 June 2004
Published in: Doklady Mathematics (Search for Journal in Brave)
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)
Related Items (9)
Characterization of generalizedperiodic vector fields on hyperbolic space ⋮ Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space ⋮ Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$ ⋮ On functions with given spherical means on symmetric spaces ⋮ ON ONE ZALCMAN PROBLEM FOR THE MEAN VALUE OPERATOR ⋮ Inversion of a Convolution Operator Associated with Spherical Means ⋮ Inversion of the local Pompeiu transformation on Riemannian symmetric spaces of rank one ⋮ Spherical means on two-point homogeneous spaces and applications ⋮ Continuous extension of functions from a segment to functions in \(\mathbb{R}^n\) with zero ball means
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