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• W2765094930 abstract "We consider factorization problem for differential operators on the commutative algebra of densities (defined either algebraically or in terms of an auxiliary extended manifold) introduced in 2004 by Khudaverdian and Voronov in connection with Batalin-Vilkovisky geometry. We consider the case of the line, where unlike the familiar setting (where operators act on functions) there are obstructions for factorization. We analyze these obstructions. In particular, we study the generalized Sturm-Liouville operators acting on the algebra of densities on the line. This in a certain sense is in between the 1D and 2D cases. We establish a criterion of factorizabily for the generalized Sturm-Liouville operator in terms of solution of the classical Sturm-Liouville equation. We also establish the possibility of an incomplete factorization." @default.
• W2765094930 created "2017-11-10" @default.
• W2765094930 creator A5059468419 @default.
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• W2765094930 date "2018-07-25" @default.
• W2765094930 modified "2023-09-23" @default.
• W2765094930 title "Differential operators on the algebra of densities and factorization of the generalized Sturm–Liouville operator" @default.
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• W2765094930 doi "https://doi.org/10.1007/s11005-018-1113-9" @default.
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