Radon-Transformation auf nilpotenten Lie-Gruppen.
Ramanujan duals II.
Ramification in p-Adic Lie Extensions.
Random walks on the affine group of local fields and of homogeneous trees
The affine group of a local field acts on the tree (the Bruhat-Tits building of ) with a fixed point in the space of ends . More generally, we define the affine group of any homogeneous tree as the group of all automorphisms of with a common fixed point in , and establish main asymptotic properties of random products in : (1) law of large numbers and central limit theorem; (2) convergence to and solvability of the Dirichlet problem at infinity; (3) identification of the Poisson boundary...
Rankin triple L functions
Rankin–Cohen brackets and representations of conformal Lie groups
This is an extended version of a lecture given by the author at the summer school “Quasimodular forms and applications” held in Besse in June 2010.The main purpose of this work is to present Rankin-Cohen brackets through the theory of unitary representations of conformal Lie groups and explain recent results on their analogues for Lie groups of higher rank. Various identities verified by such covariant bi-differential operators will be explained by the associativity of a non-commutative product...
Rapidly decreasing functions on general semisimple groups
Real projective structures on Riemann surfaces
Recent developments in the theory of function spaces
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group
We construct an intrinsic regular surface in the first Heisenberg group equipped wiht its Carnot-Carathéodory metric which has euclidean Hausdorff dimension . Moreover we prove that each intrinsic regular surface in this setting is a -dimensional topological manifold admitting a -Hölder continuous parameterization.
Rectifiability and perimeter in step 2 groups
Rectifiability and perimeter in step 2 Groups
We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical De Giorgi’s theory, developed in Euclidean spaces by De Giorgi, as well as its generalization, considered by the authors, in Heisenberg groups. A structure theorem for sets of finite perimeter and consequently a divergence theorem are obtained. Full proofs of these results, comments and an exhaustive bibliography can be found in our preprint (2001).
Rectification : «Algèbres de Clifford symplectiques et revêtements spinoriels du groupe symplectique»
Reducibility of certain representations for symplectic and odd-orthogonal groups
Reducibility of generalized principal series representations of via base change
Reducibility of Unramified Unitary Principal Series Representations of p-Adic Groups and Class-1 Representations.
Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations.
Reduction of invariant differential operators and expansions of conical distributions for
Regular behavior at infinity of stationary measures of stochastic recursion on NA groups
Let N be a simply connected nilpotent Lie group and let be a semidirect product, acting on N by diagonal automorphisms. Let (Qₙ,Mₙ) be a sequence of i.i.d. random variables with values in S. Under natural conditions, including contractivity in the mean, there is a unique stationary measure ν on N for the Markov process Xₙ = MₙXn-1 + Qₙ. We prove that for an appropriate homogeneous norm on N there is χ₀ such that . In particular, this applies to classical Poisson kernels on symmetric spaces,...