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A characterization of Herglotz–Nevanlinna functions in two variables via integral representations
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0001-7867-5874
2017 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 55, no 1, p. 199-216Article in journal (Refereed) Published
Abstract [en]

We derive an integral representation for Herglotz-Nevanlinna functions in two variables, which provides a complete characterization of this class in terms of a real number, two non-negative numbers and a positive measure satisfying certain conditions. Further properties of the class of representing measures are also discussed.

Place, publisher, year, edition, pages
2017. Vol. 55, no 1, p. 199-216
Keywords [en]
integral representation, Herglotz-Nevanlinna function, several complex variables
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-151762DOI: 10.4310/ARKIV.2017.v55.n1.a10ISI: 000424524100010OAI: oai:DiVA.org:su-151762DiVA, id: diva2:1175496
Funder
Swedish Foundation for Strategic Research , AM13-0011Available from: 2018-01-18 Created: 2018-01-18 Last updated: 2018-03-05Bibliographically approved

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Luger, AnnemarieNedic, Mitja
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