Resumen de Interpolation of data by smooth nonnegative functions

Charles L. Fefferman , Arie Israel, Garving K. Luli

• We prove a finiteness principle for interpolation of data by nonnegative Cm and Cm−1,1 functions. Our result raises the hope that one can start to understand constrained interpolation problems in which, e.g., the interpolating function F is required to be nonnegative.