Local analytic solutions of a functional equation

Autor: Andrzej Smajdor, Wilhelmina Smajdor
Jazyk: German<br />English<br />French
Rok vydání: 2004
Předmět:
Zdroj: Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 4, Iss 1, Pp 203-209 (2004)
Druh dokumentu: article
ISSN: 2081-545X
Popis: 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=re^{iheta}in mathbb{C}: 1-epsilonle r le 1+epsilon, hetain (-delta,delta)}, ] are found.
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