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Journal of Operator Theory

Volume 55, Issue 1, Winter 2006  pp. 17-48.

Generalized Nevanlinna functions with essentially positive spectrum

Authors:  Michael Kaltenbaeck 1, Henrik Winkler 2, and Harald Woracek 3
Author institution: 1 Institut fuer Analysis und Scientific Computing, Technische Universitaet Wien, Vienna, 1040, Austria
2 Faculteit der Wiskunde en Natuurwetenschappen, Rijksuniversiteit Groningen, Groningen, 9700 AV, The Netherlands
3 Institut fuer Analysis und Scientific Computing, Technische Universitaet Wien, Vienna, 1040, Austria


Summary:  We introduce an indefinite analogue of the so-called Stieltjes class and provide some basic results on this \textit{indefinite Stieltjes class}. Among them: The relation between the functions q(z), zq(z) and zq(z2), limit properties, a distributional representation. These results generalize well known properties of functions belonging to the Stieltjes class.

Keywords:  Stieltjes class, indefinite inner product, distribution


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