Holomorphic semigroups for minimal representations of conformal groups. Harmonic Analysis, Operator Algebras and Representation Theory (organized by Jean Ludwig and Anthony To-Ming Lau). Centre International de Recherches Mathématiques (CIRM), Luminy, France, 3-7 November 2008.

The classical Fourier transform may be understood as the boundary value of a holomorhic semigroup with infinitesimal generator Δ - |x|². Extending this setting from the viewpoint of minimal representations of conformal groups, I will present explicit formulae for some new holomophic semigroups.

© Toshiyuki Kobayashi