8 citations · 19 across the 10 of their papers we have counts for
5 papers · 1 filter
Asymptotic Schur orthogonality for lattices
A. BENDIKOV, A. BOYER, CH. PITTET
Let be the boundary representation of a non-compact connected semisimple Lie group with finite center on its Furstenberg-Poisson boundary $(G…
Coulhon Saloff-Coste isoperimetric inequalities for finitely generated groups
Christophe Pittet, Bogdan Stankov
We prove an inequality, valid on any finitely generated group with a fixed finite symmetric generating set, involving the growth of successive balls, and the average length of an e…
Radial rapid decay does not imply rapid decay
Adrien Boyer, Antoine Pinochet Lobos, Christophe Pittet
We provide a new, dynamical criterion for the radial rapid decay property. We work out in detail the special case of the group , where $A := \mathbb{F}_q[X,X^…
Spectral distribution and -isoperimetric profile of Laplace operators on groups
Alexander Bendikov, Christophe Pittet, Roman Sauer
We give a formula relating the -isoperimetric profile to the spectral distribution of the Laplace operator associated to a finitely generated group or a Riemannian manifol…
Connected Lie groups and property RD
I. Chatterji, Ch. Pittet, L. Saloff-Coste
For a locally compact group, property RD gives a control on the convolution norm of any compactly supported measure in terms of the -norm of its density and the diameter of it…