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On the index theorem for multidimensional bisingular integral operators on Hilbert modules - MaRDI portal

On the index theorem for multidimensional bisingular integral operators on Hilbert modules (Q2739105)

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scientific article; zbMATH DE number 1643454
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On the index theorem for multidimensional bisingular integral operators on Hilbert modules
scientific article; zbMATH DE number 1643454

    Statements

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    16 December 2001
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    bisingular operator
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    operator on Hilbert module
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    stable homotopy classification
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    index formula
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    On the index theorem for multidimensional bisingular integral operators on Hilbert modules (English)
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    The author studies multidimensional singular and bisingular integral operators on Hilbert modules over a \(C^*\)-algebra \(A\). The main results consist on the stable homotopy classification of \(A\)-Fredholm operators of the above type and the \(K_0(A)\)-valued index formula for bisingular operators.
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