A Uniqueness Result for a Generalized Radon Transform

B. L. Fridman
1995 SIAM Journal on Mathematical Analysis  
There exist five families of Lipschitz curves on the unit square such that any continuous function is uniquely defined by the values of its integral (properly defined) along these curves. We present this uniqueness result as a consequence of the Kolmogorov's superposition theorem. 1
doi:10.1137/s0036141093251389 fatcat:6mf7jcz3mzb7nbqongapsqqef4