The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of $C^\infty $-algebras.
@article{107582,
author = {Andreas Kriegl and Peter W. Michor},
title = {Product preserving functors of infinite-dimensional manifolds},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {289-306},
zbl = {0881.58010},
mrnumber = {1441400},
language = {en},
url = {http://dml.mathdoc.fr/item/107582}
}
Kriegl, Andreas; Michor, Peter W. Product preserving functors of infinite-dimensional manifolds. Archivum Mathematicum, Tome 032 (1996) pp. 289-306. http://gdmltest.u-ga.fr/item/107582/
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