16 citations · 16 across the 2 of their papers we have counts for
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math.AP2013★ 16 cited
Transmission eigenvalues and thermoacoustic tomography
David Finch, Kyle S. Hickmann
The spectrum of the interior transmission problem is related to the unique determination of the acoustic properties of a body in thermoacoustic imaging. Under a non-trapping hypoth…
math.AP2009
Range conditions for a spherical mean transform
Mark Agranovsky, David Finch, Peter Kuchment
The paper is devoted to the range description of the Radon type transform that averages a function over all spheres centered on a given sphere. Such transforms arise naturally in t…
math.AP2007
Inversion of spherical means and the wave equation in even dimensions
D. Finch, M. Haltmeier, Rakesh
We establish inversion formulas of the so called filtered back-projection type to recover a function supported in the ball in even dimensions from its spherical means over spheres…