The study of Gaussian convolution semigroups is a subject at the crossroad between abstract and concrete problems in harmonic analysis. This article suggests selected open problems that are in large part motivated by joint work with Alexander Bendikov.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-10, author = {L. Saloff-Coste}, title = {Analysis on compact Lie groups of large dimension and on connected compact groups}, journal = {Colloquium Mathematicae}, volume = {120}, year = {2010}, pages = {183-199}, zbl = {1189.22002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-10} }
L. Saloff-Coste. Analysis on compact Lie groups of large dimension and on connected compact groups. Colloquium Mathematicae, Tome 120 (2010) pp. 183-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-10/