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Interpolation submanifolds of the unitary group (Q1338925)

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scientific article; zbMATH DE number 695071
Language Label Description Also known as
English
Interpolation submanifolds of the unitary group
scientific article; zbMATH DE number 695071

    Statements

    title
    Interpolation submanifolds of the unitary group (English)
    0 references
    author
    Yeren Xu
    0 references
    publication date
    28 March 1995
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    review text
    An interpolation subset in the boundary of a domain is a closed set in which every continuous (resp. smooth) function can be extended as a holomorphic function inside the domain and continuous (resp. smooth) up to the boundary. The purpose of this paper is to give some geometric description for submanifolds in the unitary group \(U(n)\), which is regarded as an \(n^ 2\)-dimensional totally real submanifold in \(\mathbb{C}^{n^ 2}\), to be interpolation sets for the domain obtained by taking the polynomial hull of \(U(n)\).
    0 references
    zbMATH Keywords
    unitary group
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    interpolation sets
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    reviewed by
    Koichi Ogiue
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    Identifiers

    zbMATH DE Number
    695071
    0 references
    OpenAlex ID
    W1977950102
    0 references
     
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