On the index of nonlocal elliptic operators for the group of dilations (Q600734)

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scientific article; zbMATH DE number 5809112
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On the index of nonlocal elliptic operators for the group of dilations
scientific article; zbMATH DE number 5809112

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    On the index of nonlocal elliptic operators for the group of dilations (English)
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    1 November 2010
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    The authors consider a nonisometric case of the index problem for nonlocal elliptic operators associated with actions of discrete groups. The isometric case was considered in the book by \textit{V. E. Nazaikinskij}, \textit{A. Yu. Savin} and \textit{B. Yu. Sternin} [Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Operator Theory: Advances and Applications 183. Advances in Partial Differential Equations. Basel: Birkhäuser (2008; Zbl 1158.58013)].
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    nonlocal operator
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    group of dilations
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    Chern character
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