16 citations · 61 across the 17 of their papers we have counts for
21 papers
Bounded harmonic maps
Yves Benoist, Dominique Hulin
The classical Fatou theorem identifies bounded harmonic functions on the unit disk with bounded measurable functions on the boundary circle. We extend this theorem to bounded harmo…
Convolution and square in abelian groups II
Yves Benoist
A critical value on an abelian group G of odd order d is a value such that the functional equation ff (2 t) = f (t)^2 on G has a nonzero solution f. We construct many…
On the rational symplectic group
Yves Benoist
This note contains a short proof of a classical result: any rational symplectic matrix can be put in diagonal form after right and left multiplication by integral symplectic matric…
Convolution and square in abelian groups I
Yves Benoist
We prove that on the cyclic groups of odd order d, there exist non zero functions whose convolution square f*f(2t) is proportional to their square f(t)^2 when the proportionality c…
Temperedness criterion of the tensor product of parabolic induction for
Yves Benoist, Yui Inoue, Toshiyuki Kobayashi
We give a necessary and sufficient condition for a pair of parabolic subgroups and of such that the tensor product of any two unitarily induced represe…
How far are p-adic Lie groups from algebraic groups?
Yves Benoist, Jean-François Quint
We show that, in a weakly regular -adic Lie group , the subgroup spanned by the one-parameter subgroups of admits a Levi decomposition. As a consequence, there exis…