Sparse approximation of functions using sums of exponentials and AAK theory

作者：Andersson Fredrik^*; Carlsson Marcus; de Hoop Maarten V

来源：Journal of Approximation Theory, 2011, 163(2): 213-248.

DOI：10.1016/j.jat.2010.09.005

We consider the problem of approximating functions by sums of few exponentials functions, either on an interval or on the positive half-axis. We study both continuous and discrete cases, i.e. when the function is replaced by a number of equidistant samples. Recently, an algorithm has been constructed by Beylkin and Monzon for the discrete case. We provide a theoretical framework for understanding how this algorithm relates to the continuous case.

• 出版日期2011-2