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arxiv: 1707.01568 · v1 · pith:RPMQJHYHnew · submitted 2017-07-05 · 🧮 math.FA

Sheaves of nonlinear generalized function spaces

classification 🧮 math.FA
keywords generalizedfunctionsalgebrasdiffeomorphisminvariantnonlinearsheavesspaces
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We provide a framework for the construction of diffeomorphism invariant sheaves of nonlinear generalized functions spaces. As an application, global algebras of generalized functions for distributions on manifolds and diffeomorphism invariant algebras of generalized functions for ultradistributions are constructed.

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