On the determination of functions from their integral values along certain manifolds

@article{Radon1986OnTD,
  title={On the determination of functions from their integral values along certain manifolds},
  author={Johann Radon},
  journal={IEEE Transactions on Medical Imaging},
  year={1986},
  volume={5},
  pages={170-176}
}
  • J. Radon
  • Published 1986
  • Mathematics
  • IEEE Transactions on Medical Imaging
When one integrates a function of two variables x,y - a point function f(P) in the plane - subject to suitable regularity conditions along an arbitrary straight line g then one obtains in the integral values F(g), a line function. In Part A of the present paper the problem which is solved is the inversion of this linear functional transformation, that is the following questions are answered: can every line function satisfying suitable regularity conditions be regarded as constructed in this way… 

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References

TRANSLATOR'S NOTES The original German text

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