Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups
Asymptotic behavior of the invariant measure for a diffusion related to an NA group
On a Lie group NA that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, the heat semigroup generated by a second order subelliptic left-invariant operator is considered. Under natural conditions there is a -invariant measure m on N, i.e. . Precise asymptotics of m at infinity is given for a large class of operators with Y₀,...,Yₘ generating the Lie algebra of S.
Asymptotic behaviour of supercuspidal characters of -adic
Asymptotic products and enlargibility of Banach-Lie algebras.
Asymptotic spherical analysis on the Heisenberg group
The asymptotics of spherical functions for large dimensions are related to spherical functions for Olshanski spherical pairs. In this paper we consider inductive limits of Gelfand pairs associated to the Heisenberg group. The group K = U(n) × U(p) acts multiplicity free on 𝓟(V), the space of polynomials on V = M(n,p;ℂ), the space of n × p complex matrices. The group K acts also on the Heisenberg group H = V × ℝ. By a result of Carcano, the pair (G,K) with G = K ⋉ H is a Gelfand pair. The main results...
Asymptotics and characteristic cycles for representations of complex groups
Asymptotics of eigensections on toric varieties
Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties, we prove convergence results for sequences of densities for eigensections approaching a semiclassical ray. Here is a normal compact toric variety and is an ample line bundle equipped with an arbitrary positive bundle metric which is invariant with respect to the compact form of the torus. Our work was motivated by and extends that of Shiffman, Tate and Zelditch....
Asymptotics of Matrix Coefficients, Perverse Sheaves and Jacquet Modules.
Asymptotics of sums of subcoercive operators
We examine the asymptotic, or large-time, behaviour of the semigroup kernel associated with a finite sum of homogeneous subcoercive operators acting on a connected Lie group of polynomial growth. If the group is nilpotent we prove that the kernel is bounded by a convolution of two Gaussians whose orders correspond to the highest and lowest orders of the homogeneous subcoercive components of the generator. Moreover we establish precise asymptotic estimates on the difference of the kernel and the...
Auflösbare Liesche Gruppen mit symmetrischen L1-Algebren.
Automorphic forms
Automorphic Forms on Covering Groups of GL(2).
Automorphic forms on .
Automorphic representations and Lefschetz numbers
Automorphism Groups of Classical Mechanical Systems.
Automorphismes analytiques d'un domaine de Reinhardt borné d'un espace de Banach à base
Dans cet article, j’étudie le groupe des automorphismes analytiques d’un domaine de Reinhardt borné d’un espace de Banach complexe à base. Je montre que, dans certains cas, ce groupe est un groupe de Lie banachique réel et je donne une classification complète des domaines de Reinhardt bornés homogènes. Pour certains espaces de Banach, je montre que les seuls automorphismes analytiques de la boule-unité ouverte sont linéaires.
Automorphisms and quasi-conformal mappings of Heisenberg-type groups.
Automorphisms of differential groups
Automorphisms of Direct Products of Groups and Their Geometrie Realisations.
Automorphisms, Orbits, and Homogeneous Spaces of Non-Connected Lie Groups.