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/