Microlocal analysis of the generalized Radon transform over the level curves of CES-functions - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2015

Microlocal analysis of the generalized Radon transform over the level curves of CES-functions

Résumé

We show that the generalized Radon transform over the level curves of CES-functions in the positive quadrant is an integral Fourier operator satisfying the condition of microlocal regularity. We describe a method for reconstruction of singularities of a function from the singularities of its generalized Radon transform.
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Dates et versions

hal-01133240 , version 1 (18-03-2015)
hal-01133240 , version 2 (08-08-2015)

Identifiants

  • HAL Id : hal-01133240 , version 1

Citer

Alexey Agaltsov. Microlocal analysis of the generalized Radon transform over the level curves of CES-functions. 2015. ⟨hal-01133240v1⟩
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