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

Volchkov, Vit.; Volchkova, N.

doi:10.1090/S1061-0022-04-00830-1

Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space
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by Vit. V. Volchkov and N. P. Volchkova
Translated by: N. Yu. Netsvetaev

St. Petersburg Math. J. 15 (2004), 753-771

DOI: https://doi.org/10.1090/S1061-0022-04-00830-1

Published electronically: July 29, 2004

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Abstract:

A construction for inversion of the local Pompeiu transformation is obtained for the family consisting of two geodesic balls on the quaternion hyperbolic space.

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