On the decomposition of a positive real function into positive real summands
Applications of Mathematics, Tome 14 (1969) no. 6, pp. 429-441
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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 $f$.
@article{10_21136_AM_1969_103253,
author = {Gregor, Ji\v{r}{\'\i}},
title = {On the decomposition of a positive real function into positive real summands},
journal = {Applications of Mathematics},
pages = {429--441},
publisher = {mathdoc},
volume = {14},
number = {6},
year = {1969},
doi = {10.21136/AM.1969.103253},
mrnumber = {0249634},
zbl = {0193.36803},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103253/}
}
TY - JOUR AU - Gregor, Jiří TI - On the decomposition of a positive real function into positive real summands JO - Applications of Mathematics PY - 1969 SP - 429 EP - 441 VL - 14 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103253/ DO - 10.21136/AM.1969.103253 LA - en ID - 10_21136_AM_1969_103253 ER -
%0 Journal Article %A Gregor, Jiří %T On the decomposition of a positive real function into positive real summands %J Applications of Mathematics %D 1969 %P 429-441 %V 14 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103253/ %R 10.21136/AM.1969.103253 %G en %F 10_21136_AM_1969_103253
Gregor, Jiří. On the decomposition of a positive real function into positive real summands. Applications of Mathematics, Tome 14 (1969) no. 6, pp. 429-441. doi: 10.21136/AM.1969.103253
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