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Integral geometry in hyperbolic spaces and electrical impedance tomography

SIAM Journal on Applied Mathematics, ISSN: 0036-1399, Vol: 56, Issue: 3, Page: 755-764
1996
  • 28
    Citations
  • 0
    Usage
  • 1
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    28
    • Citation Indexes
      28
  • Captures
    1

Article Description

We study the relation between convolution operators and the totally geodesic Radon transform on hyperbolic spaces. As an application we show that the linearized inverse conductivity problem in the disk can be interpreted exactly in terms of the X-ray transform with respect to the Poincaré metric and of a simple convolution operator.

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