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Vector fields with a non-degenerate source - MaRDI portal

Vector fields with a non-degenerate source (Q2439282)

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Vector fields with a non-degenerate source
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    Vector fields with a non-degenerate source (English)
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    14 March 2014
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    On a finite dimensional manifold \(M\) one considers a smooth vector field \(X\) and a vector bundle for which a connection \(\nabla\) and an endomorphism field \(A\) are given. Under a special property of \(X\), the author proves a Fredholm alternative for the operator \(\nabla_X+A\). A result regarding the eigenvalues is also established.
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    recursive transport equations
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    first order PDE
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    Fredholm alternative
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    heat kernel coefficients
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    WKB expansion
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    semiclassical analysis
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