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- W2963494572 abstract "Extending the construction of the (intrinsically defined) full algebra of scalar valued Colombeau functions on a smooth manifold M (Grosser et al., Adv. Math. 166 (2002), 179-206) we present a suitable basic space for eventually obtaining tensor valued generalized functions on M, via the usual quotient construction. This basic space canonically contains the tensor valued distributions and permits a natural extension of the classical Lie derivative. Its members are smooth functions depending - via a third slot - on so-called transport operators, in addition to slots one (smooth n-forms on M) and two (points of M) from the scalar case." @default.
- W2963494572 created "2019-07-30" @default.
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- W2963494572 date "2010-01-01" @default.
- W2963494572 modified "2023-09-27" @default.
- W2963494572 title "Tensor valued Colombeau functions on manifolds" @default.
- W2963494572 doi "https://doi.org/10.4064/bc88-0-11" @default.
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