2 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
Transferring Fourier Multipliers from Rn to Compact Lie Groups
David G Maher
This paper uses the wrapping map of Dooley and Wildberger to prove Lp boundedness of multipliers on compact Lie groups by transferring the estimate from Rn. This improves the bound…
Wrapping Brownian motion and heat kernels II: symmetric spaces
David G Maher
In this paper we extend our previous results on wrapping Brownian motion and heat kernels onto compact Lie groups to various symmetric spaces, where a global generalisation of Rouv…
Wrapping Brownian motion and heat kernels I: compact Lie groups
David G Maher
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fundamental solution of the associated semigroup is known as the heat kernel, whic…
Wrapping Brownian motion and heat kernels on compact Lie groups
David Maher
The fundamental solution of the heat equation on is known as the heat kernel which is also the transition density of a Brownian motion. Similar statements hold when is…