%0 Journal Article
%T On Matrix-Valued Stieltjes Functions with an Emphasis on Particular Subclasses
%A Bernd Fritzsche
%A Bernd Kirstein
%A Conrad M£żdler
%J Mathematics
%D 2015
%I arXiv
%X The paper deals with particular classes of $q\times q$ matrix-valued functions which are holomorphic in $\mathbb{C}\setminus[\alpha,+\infty)$, where $\alpha$ is an arbitrary real number. These classes are generalizations of classes of holomorphic complex-valued functions studied by Kats and Krein [17] and by Krein and Nudelman [19]. The functions are closely related to truncated matricial Stieltjes problems on the interval $[\alpha,+\infty)$. Characterizations of these classes via integral representations are presented. Particular emphasis is placed on the discussion of the Moore-Penrose inverse of these matrix-valued functions.
%U http://arxiv.org/abs/1506.01600v1