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  1. 1. Always Look on the Positive-Definite Side of Life

    Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Mattias Byléhn; [2020-11-24]
    Nyckelord :Poisson summation; positive-definite distributions; Abel transform; Guinand’s distribution; relatively positive-definite distributions; Krein’s theorem; Krein measures;

    Sammanfattning : This thesis concerns distributions on Rn with the property of being positive-definite relative to a finite subgroup of the orthogonal group O(n). We construct examples of such distributions as the inverse Abel transform of Dirac combs on the geometries of Euclidean space Rn and the real- and complex hyperbolic plane H2, H2 C. LÄS MER