Local analytic solutions of a functional equation

All analytic solutions of the functional equation
 [
 |f(rexp(iheta))|^{2}+|f(1)|^{2}=|f(r)|^{2}+|f(exp(iheta))|^{2}
 ]
 in the annulus
 [
 P:={zin mathbb{C}: 1-epsilonle|z|le1+epsilon} 
 ]
 and in the domain
 [
 D:={z=r...

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Bibliographic Details
Main Authors: Andrzej Smajdor, Wilhelmina Smajdor
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2004-05-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/26