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  • Characterizations of Herglotz–Nevanlinna functions using positive semi-definite functions and the Nevanlinna kernel in several variables
    Nedić, Mitja
    In this paper, we give several characterizations of Herglotz–Nevanlinna functions in terms of a specific type of positive semi-definite functions called Poisson-type functions. This allows us to ... propose a multidimensional analogue of the classical Nevanlinna kernel and a definition of generalized Nevanlinna functions in several variables. Furthermore, a characterization of the symmetric extension of a Herglotz–Nevanlinna function is also given. The subclass of Loewner functions is discussed as well, along with an interpretation of the main result in terms of holomorphic functions on the unit polydisk with non-negative real part.
    Vir: Complex analysis and operator theory. - ISSN 1661-8254 (Vol. 15, iss. 7, 2021, art. no. 109 (29 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 137641475

    Povezava(-e):

    https://link.springer.com/article/10.1007/s11785-021-01155-x
    DOI

vir: Complex analysis and operator theory. - ISSN 1661-8254 (Vol. 15, iss. 7, 2021, art. no. 109 (29 str.))
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