Codice QDD230 Titolo Radon type transforms for holomorphic functions in the Lie ball Data 2018-04-10 Autore/i Sabadini, I; Sommen, F. Link Download full text Abstract In this paper we consider holomorphic functions on the $m$-dimensional Lie ball $LB(0,1)$ which admit a square integrable extension on the Lie sphere. We then define orthogonal projections of this set onto suitable subsets of functions defined in lower dimensional spaces to obtain several Radon-type transforms. For all these transforms we provide the kernel and an integral representation, besides other properties. In particular, we introduce and study a generalization to the case of the Lie ball of the Szego-Radon transform, and various types of Hua-Radon transforms.