Integral Valued Entire Functions

In this section we study a transform of analytic functionals akin to the Cauchy transform considered in Chapter 1. This transform will allow us to obtain rather easily those properties of entire functions of exponential type that can be derived from their behavior on sequences of the form n ≥ n₀, n ∈ ℤ. It also provides an elementary method to study the analytic continuation of power series of the form Σ_≥0f (n)tn, where f is an entire function of exponential type. The main references for this section are [Bo], [Av 1], [Av2], [AG1], [AG2], [AG3].