30 citations · 30 across the 1 of their papers we have counts for
4 papers
Resolvents of R-Diagonal Operators
Uffe Haagerup, Todd Kemp, Roland Speicher
We consider the resolvent of any -diagonal operator in a -factor. Our main theorem gives a universal asymptotic formula for the norm of such a re…
Hypercontractivity for log-subharmonic functions
Piotr Graczyk, Todd Kemp, Jean-Jacques Loeb +1
We prove strong hypercontractivity (SHC) inequalities for logarithmically subharmonic functions on $\RR^n$ and different classes of measures: Gaussian measures on $\RR^n$, symmetri…
R-diagonal dilation semigroups
Todd Kemp
This paper addresses extensions of the complex Ornstein-Uhlenbeck semigroup to operator algebras in free probability theory. If are -free -diagonal…
Strong hypercontractivity in non-commutative holomorphic spaces
Todd Kemp
We introduce holomorphic algebras in the context of the q-Gaussian algebra of Bozejko, Kümmerer, and Speicher, and give a q-Segal-Bargmann transform for them. We then p…