Finite Type Functions as Limits of Exponential Sums

D. J. Newman
1982 Proceedings of the American Mathematical Society  
The functions /( z ) of type 1 which are bounded on the real axis are usually thought of as spanned by the exponentials e , A G [-1, 1]. We find the correct topology in which this " spanning" occurs.
doi:10.2307/2043593 fatcat:ierc5qpssndlzjzjdlec6jiskm