Article ID Journal Published Year Pages File Type
4618867 Journal of Mathematical Analysis and Applications 2011 13 Pages PDF
Abstract

We give a characterization of the functions f analytic on the half-plane Re(z)>σ that can be expressed in the form for some βn∈C. It will follow that the βn depend on the values of f on the integers so this gives a sampling reconstruction of these functions. Several examples of this representation are given.

Related Topics
Physical Sciences and Engineering Mathematics Analysis