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  • Geometric properties of measures related to holomorphic functions having positive imaginary or real part
    Luger, Annemarie ; Nedić, Mitja
    In this paper, we study the properties of a certain class of Borel measures on ▫${\mathbb R}^n$▫ that arise in the integral representation of Herglotz–Nevanlinna functions. In particular, we find ... that restrictions to certain hyperplanes are of a surprisingly simple form and show that the supports of such measures cannot lie within particular geometric regions, e.g., strips with positive slope. Corresponding results are derived for measures on the unit poly-torus with vanishing mixed Fourier coefficients. These measures are closely related to functions mapping the unit polydisk analytically into the right half-plane.
    Vir: The Journal of geometric analysis. - ISSN 1050-6926 (Vol. 31, no. 3, 2021, str. 2611-2638)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 137663491

    Povezava(-e):

    https://link.springer.com/article/10.1007/s12220-020-00368-4
    DOI

Vnos na polico