Harmonic interpolation based on Radon projections along the sides of regular polygons

@inproceedings{Georgieva2011HarmonicIB,
  title={Harmonic interpolation based on Radon projections along the sides of regular polygons},
  author={Irina Georgieva and Clemens Hofreither and Christoph Koutschan and Veronika Pillwein and Thotsaporn Thanatipanonda},
  year={2011}
}
Given information about a harmonic function in two variables, consisting of a nite number of values of its Radon projections, i.e., integrals along some chords of the unit circle, we study the problem of interpolating these data by a harmonic polynomial. With the help of symbolic summation techniques we show that this interpolation problem has a unique solution in the case when the chords form a regular polygon. Numerical experiments for this and more general cases are presented.