Lemmes de moyenne et transformée aux rayons X

Translated title of the contribution: Averaging lemmas and the X-ray transform

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We introduce a new method to prove averaging lemmas, i.e., prove a regularizing effect on the average in velocity of a solution to a kinetic equation. The method does not require the use of Fourier transform and the whole procedure is performed in the 'real space'; it leads to estimating an operator very similar to the so-called X-ray transform. We are then able to improve the known results when the integrability in space and velocity are different.

Translated title of the contributionAveraging lemmas and the X-ray transform
Original languageFrench
Pages (from-to)505-510
Number of pages6
JournalComptes Rendus Mathematique
Issue number8
StatePublished - Oct 15 2003

All Science Journal Classification (ASJC) codes

  • General Mathematics


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