The Radon Transform on Z *

  title={The Radon Transform on Z *},
  author={P L Graham},
where S + x denotes the setf-s + x i s e S ) . Thus, the Radon transform can be thought of as a way of replacing/by a "smeared out" version of /. This form of the transform represents a simplified model of the kind of averaging which occurs in certain applied settings, such as various types of tomography and recent statistical averaging techniques. A fundamental question which arises in connection with the Radon transform is whether or not it is possible to invert it, i.e., whether one can… CONTINUE READING
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