Titlebook: Complex Analysis and Special Topics in Harmonic Analysis; Carlos A. Berenstein,Roger Gay Book 1995 Springer-Verlag New York, Inc. 1995 Com

小故事

Integral Valued Entire Functions,ain rather easily those properties of entire functions of exponential type that can be derived from their behavior on sequences of the form . ≥ ., . ∈ ℤ. It also provides an elementary method to study the analytic continuation of power series of the form Σ. . (n)., where . is an entire function of e

Evacuate

Summation Methods,tar-shaped with respect to the origin, to which . admits an analytic continuation. Let us denote by .(.) that domain. (Why is it well defined?) We shall obtain .(.) as the union of certain domains .(.),such that in each of them we shall be able to describe explicitly the analytic continuation of .,

allergy

Harmonic Analysis,s ., . ∈ ℤ, in their study of the vibrating string. It is known that every .-function which is 2π-periodic in the real line has an expansion of the form En . (we remind the reader one can estimate these coefficients . very precisely, and that we do not need to restrict ourselves to .-functions). It

foliage

Exposition

llow Cornford‘s admirable trans­ lation as closely as possible, though the reader will find some significant deviations. The most notable of these concerns the key word on which I have rendered throughout as "being," thus avoiding Cornford‘s "existence" and "reality" which tend to prejudge the issues which th978-90-247-1580-0978-94-010-2012-1

Minutes

sperse