Sökning: "Nikolay Shcherbina"

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  1. 1. Polynomial Hulls and Envelopes of Holomorphy

    Författare :Lennart S. Nobel; Burglind Jöricke; Nikolay Shcherbina; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cantor sets; polynomial hulls; envelopes of holomorphy; continuity principle; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : The notion of polynomial hulls of compact subsets of complex Euclidean space plays a crucial role for approximation of holomorphic functions by polynomials - a topic which has many applications. Despite an abstract characterization of polynomial hulls in terms of currents, given by Duval and Sibony, it is often very difficult even for special classes of sets to decide whether the polynomial hull is trivial (i. LÄS MER