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On sheaves of differential operators
Massamba, Fortuné
Ntumba, Patrice P.
2017
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e-ISSN
2464-8728
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.
Part of
49 (2017)
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
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
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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