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Remarks on modification of Helgason’s support theorem
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T. Takiguchi
Published/Copyright:
September 7, 2013
Abstract
- It is well known that for uniqueness of the exterior problem for the Radon transform it is necessary and sufficient that a function decays rapidly towards infinity. This is Helgason’s support theorem. Several years ago, J. Boman discussed a modification of this theorem by restricting the condition of rapid decay to an open cone. In this paper, we study this modification.
Published Online: 2013-09-07
Published in Print: 2000-10
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Contents
- Unique determination of surface breaking cracks in three-dimensional bodies
- A two-surface problem for a biharmonic equation
- Boundary shape identification in two-dimensional electrostatic problems using SQUIDs
- An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators
- Numerical solution of the Cauchy problem in plane elastostatics
- Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain
- Remarks on modification of Helgason’s support theorem
