Kathryn E. Hare

activity

20142019

collaborators

3 papers

math.RT2019

The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces

Sanjiv Kumar Gupta, Kathryn E. Hare

It is well known that if $G / K$ is any irreducible symmetric space and $μ_{a}$ is a continuous orbital measure supported on the double coset $K a K,$ then the convolution product, $μ_…

math.CA2016

An abstract proof of the L2-singular dichotomy for orbital measures on Lie algebras and groups

Kathryn Hare, Jimmy He

Let $G$ be a compact, connected simple Lie group and $g$ its Lie algebra. It is known that if $μ$ is any $G$ -invariant measure supported on an adjoint orbit in $\mathfra…

math.FA2014

Characterizing the absolute continuity of the convolution of orbital measures in a classical Lie algebra

Sanjiv Kumar Gupta, Kathryn E. Hare

Let $g$ be a compact, simple Lie algebra of dimension $d$ . It is a classical result that the convolution of any $d$ non-trivial, $G$ -invariant, orbital measures is abso…