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A fast butterfly algorithm for generalized Radon transforms
fast butterfly algorithm generalized Radon transforms
2015/7/14
Generalized Radon transforms, such as the hyperbolic Radon transform, cannot be implemented as efficiently in the frequency domain as convolutions, thus limiting their use in seismic data processing. ...
AVERAGES ALONG POLYNOMIAL SEQUENCES IN DISCRETE NILPOTENT GROUPS: SINGULAR RADON TRANSFORMS
AVERAGES ALONG POLYNOMIAL SEQUENCES DISCRETE NILPOTENT GROUPS SINGULAR RADON TRANSFORMS
2014/4/3
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
The purpose of this announcement is to describe a development given in a series of forthcoming
papers by the authors that concern operators of the form f 7→ (x) Z f ( t (x))K (t) dt.