On the decomposition of a positive real function into positive real summands

@article{Gregor1969,
abstract = {Analytic functions of one variable with positive real part in the right half-plane, assuming real values on the real positive half-axis, are called positive real functions. In the paper necessary and sufficient conditions for a positive real function to be a sum of two positive real functions are given. Further the structure of any positive real function $f$ is shown when written in the form $f=f_0+g+h$ where $f_0,g,h$ are positive real functions and $f_0$ has all the pure imaginary poles of the function $f$.},
author = {Gregor, Jiří},
journal = {Aplikace matematiky},
keywords = {complex functions},
language = {eng},
number = {6},
pages = {429-441},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the decomposition of a positive real function into positive real summands},
url = {http://eudml.org/doc/14618},
volume = {14},
year = {1969},
}

TY - JOUR
AU - Gregor, Jiří
TI - On the decomposition of a positive real function into positive real summands
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 6
SP - 429
EP - 441
AB - Analytic functions of one variable with positive real part in the right half-plane, assuming real values on the real positive half-axis, are called positive real functions. In the paper necessary and sufficient conditions for a positive real function to be a sum of two positive real functions are given. Further the structure of any positive real function $f$ is shown when written in the form $f=f_0+g+h$ where $f_0,g,h$ are positive real functions and $f_0$ has all the pure imaginary poles of the function $f$.
LA - eng
KW - complex functions
UR - http://eudml.org/doc/14618
ER -