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On sheaves of differential operators

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20_RIMUT_MassambaNtumba.pdf(287.14 KB)
Date
2017
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EUT Edizioni Università di Trieste
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Abstract
Given a C∞ manifold X, denote by Cm / X the sheaf of m-times differentiable real-valued functions and by Dm,r / X the sheaf of differential operators of order ≤ m with coefficient functions of class C r . We prove that the natural morphism Dm−r,r / X → H omRX(Cm / X , Cr / X) is an isomorphism.
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Sheaves, differential operators
Citation
Fortuné Massamba, Patrice P. Ntumba, "On sheaves of differential operators", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 357-365
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http://hdl.handle.net/10077/16220
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Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.49 (2017)