The paper gives a new application of the white noise distribution theory via a proof of irreducibility of the energy representation of a group of -maps from a compact Riemann manifold to a semi-simple compact Lie group.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-21,
author = {Yoshihito Shimada},
title = {White noise distribution theory and its application},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {279-291},
zbl = {1140.46320},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-21}
}
Yoshihito Shimada. White noise distribution theory and its application. Banach Center Publications, Tome 75 (2007) pp. 279-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-21/