FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 3, PAGES 637-652

On the system {f(ljz)} series

E. N. Alexeeva

Abstract

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The aim of the paper is to search the conditions of the expansion of the functions analytical in a unit circle in a series of the åj=1¥djf(ljz) kind, where f(z) is the function analytical in a unit circle, |lj| < 1. The proved theorems contain as a special case the well-known results about the expansion of analytical functions in the rational series of the form åj=1¥(dj)/(1-ljz).


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