We present an approach to sums of random Hermitian matrices via the theory of spher- ical functions for the Gelfand pair (U(n) Herm(n), U(n)). It is inspired by a similar approach of Kieburg and Kösters for products of ...

We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.

The random walk to be considered takes place in the - spherical dual of the group U(n + 1), for a xed nite dimensional irreducible representation of U(n). The transition matrix comes from the three term recursion ...

We denote by $H_{n}$ the $2n+1$-dimensional Heisenberg group and study the spherical transform associated with the generalized Gelfand pair $(U(p,q) \rtimes H_{n},U(p,q))$, $p+q=n$, which is defined on the space of Schwartz ...

The adsorption of helium on spherical cavities is investigated employing finite range density functional theory. It is known that for films outside spherical walls, a growth instability occurs above a critical film thickness. ...