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math.AP2025
Riesz transform, function spaces and their applications on infinite dimensional compact groups
Alexander Bendikov, Li Chen, Laurent Saloff-Coste
On a compact connected group , consider the infinitesimal generator of a central symmetric Gaussian convolution semigroup . We establish several regularity res…
math.PR2025
Sub-elliptic diffusions on compact groups via Dirichlet form perturbation
Qi Hou, Laurent Saloff-Coste
This work provides an extension of parts of the classical finite dimensional sub-elliptic theory in the context of infinite dimensional compact connected metrizable groups. Given a…
math.DG2025
Uniform doubling for abelian products with
Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste
We prove that the uniform doubling property holds for every Lie group which can be written as a quotient group of for some . In partic…