Lie groups and error analysis.
Limit formulas for groups with one conjugacy class of Cartan subgroups
Limit formulas for the computation of the canonical measure on a nilpotent coadjoint orbit in terms of the canonical measures on regular semisimple coadjoint orbits arise naturally in the study of invariant eigendistributions on a reductive Lie algebra. In the present paper we consider a particular type of the limit formula for canonical measures which was proposed by Rossmann. The main technical tool in our analysis are the results of Schmid and Vilonen on the equivariant sheaves on the flag variety...
L-Indistinguishability for Real Groups.
Lipschitz Spaces on Compact Lie Groups.
Littlewood-paley decomposition associated with the dunkl operators and paraproduct operators.
Local compactness and local invariance of free products of topological groups
Localisation des sommes de Riesz sur un groupe de Lie compact
L’opérateur de Casimir de
Lp-estimates for the wave equation on the Heisenberg group.
Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that ei√£ / (1 - £)α/2 extends to a bounded operator on Lp(Hm), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.
Markov operators on the solvable Baumslag-Solitar groups.
Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.
In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.
Matrix elements and highest weight Wigner coefficients of
Maximal estimates for nonsymmetric semigroups
Maximal functions related to subelliptic operators invariant under an action of a nilpotent Lie group
Maximal functions related to subelliptic operators invariant under an action of a solvable Lie group
On the domain S_a = {(x,e^b): x ∈ N, b ∈ ℝ, b > a} where N is a simply connected nilpotent Lie group, a certain N-left-invariant, second order, degenerate elliptic operator L is considered. N × {e^a} is the Poisson boundary for L-harmonic functions F, i.e. F is the Poisson integral F(xe^b) = ʃ_N f(xy)dμ^b_a(x), for an f in L^∞(N). The main theorem of the paper asserts that the maximal function M^a f(x) = sup{|ʃf(xy)dμ_a^b(y)| : b > a} is of weak type (1,1).
Maxwell strata in sub-Riemannian problem on the group of motions of a plane
The left-invariant sub-Riemannian problem on the group of motions of a plane is considered. Sub-Riemannian geodesics are parameterized by Jacobi's functions. Discrete symmetries of the problem generated by reflections of pendulum are described. The corresponding Maxwell points are characterized, on this basis an upper bound on the cut time is obtained.
Minimal bi-invariant Hilbert subspaces of distributions on nilpotent Lie groups.
Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires
On montre, pour une classe particulière de groupes non-unimodulaires , où est un groupe de Lie stratifié et où l’action de est définie par les dilatations naturelles de , et pour les sous-laplaciens invariants à gauche correspondants , que toute fonction possédant un support compact dans définit un opérateur borné sur les espaces de Lebesgue associés à la mesure de Haar invariante à droite sur , .
Multipliers for a Distinguished Laplacean on Solvable Extensions of H-Type Groups.
Multipliers for the convolution algebra of left and right K-finite compactly supported smooth functions on a semi-simple Lie group.