Geodesic
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 $f$.
DOI : 10.21136/AM.1969.103253
Classification : 30-65
Keywords: complex functions 
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     title = {On the decomposition of a positive real function into positive real summands},
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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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103253/

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