Tensor valued Colombeau functions on manifolds

M. Grosser. "Tensor valued Colombeau functions on manifolds." Banach Center Publications 88.1 (2010): 145-152. <http://eudml.org/doc/281624>.

@article{M2010,
abstract = {Extending the construction of the algebra $\hat\{\}(M)$ of scalar valued Colombeau functions on a smooth manifold M (cf. [4]), 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.},
author = {M. Grosser},
journal = {Banach Center Publications},
keywords = {Colombeau functions; manifold; tensor valued distributions},
language = {eng},
number = {1},
pages = {145-152},
title = {Tensor valued Colombeau functions on manifolds},
url = {http://eudml.org/doc/281624},
volume = {88},
year = {2010},
}

TY - JOUR
AU - M. Grosser
TI - Tensor valued Colombeau functions on manifolds
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 145
EP - 152
AB - Extending the construction of the algebra $\hat{}(M)$ of scalar valued Colombeau functions on a smooth manifold M (cf. [4]), 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.
LA - eng
KW - Colombeau functions; manifold; tensor valued distributions
UR - http://eudml.org/doc/281624
ER -