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Full asymptotic expansion of the heat trace for non–self–adjoint elliptic cone operators

Full asymptotic expansion of the heat trace for non–self–adjoint elliptic cone operators

Abstract The operator e – tA and its trace Tr e – tA , for t > 0, are investigated in the case when A is an elliptic differential operator on a manifold with conical singularities. Under a certain spectral condition (parameter–ellipticity) we obtain a full asymptotic expansion in t …