INTEGRAL GEOMETRY IN HYPERBOLIC SPACES AND ELECTRICAL-IMPEDANCE TOMOGRAPHY

Authors
BERENSTEIN CA TARABUSI EC
Citation
Ca. Berenstein et Ec. Tarabusi, INTEGRAL GEOMETRY IN HYPERBOLIC SPACES AND ELECTRICAL-IMPEDANCE TOMOGRAPHY, SIAM journal on applied mathematics, 56(3), 1996, pp. 755-764
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
56
Issue
3
Year of publication
1996
Pages
755 - 764
Database
ISI
SICI code
0036-1399(1996)56:3<755:IGIHSA>2.0.ZU;2-#
Abstract
We study the relation between convolution operators and the totally ge odesic Radon transform on hyperbolic spaces. As an application we show that the linearized inverse conductivity problem in the disk can be i nterpreted exactly in terms of the X-ray transform with respect to the Poincare metric and of a simple convolution operator.