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Operator pencil passing through a given operator
Let Δ be a linear differential operator acting on the space of densities of a given weight λ0 on a manifold M. One can consider a pencil of operators \documentclass[12pt]{minimal}\begin{document}${\widehat{\Pi }}(\Delta )=\lbrace \Delta _{\lambda }\rbrace$\end{document}Π̂(Δ)={Δλ} passing through the operator Δ such that any Δλ is a linear differential operator acting …