4 papers · 1 filter
The Absolute continuity of convolutions of orbital measures in SO(2n+1)
Kathryn E. Hare
Let be a compact Lie group of Lie type such as . We characterize the tuples\ of the elements which have the property that th…
A non-abelian, non-Sidon, completely bounded set
Kathryn Hare, Parasar Mohanty
The purpose of this note is to construct an example of a discrete non-abelian group and a subset of , not contained in any abelian subgroup, that is a completely bounded…
Sidon sets are proportionally Sidon with small Sidon constants
Kathryn E. Hare, Robert, Yang
In his seminal work on Sidon sets, Pisier found an important characterization of Sidonicity: A set is Sidon if and only if it is proportionally quasi-independent. Later, it was sho…
Transferring spherical multipliers on compact symmetric spaces
Sanjiv K. Gupta, Kathryn E. Hare
We prove a two-sided transference theorem between spherical multipliers on the compact symmetric space and multipliers on the vector space wh…