Lie groups with smooth characters and with smooth semicharacters
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...
Limit Measures on Compact Semitopological Semigroups.
Limit theorems for convolutions of probabilities on non abelian semigroups.
Limits of Uniformly Infinitesimal Families of Projective Representations of Locally Compact Groups.
L-Indistinguishability for Real Groups.
Line Bundles and Harmonic Analysis on Compact Groups.
Linear combinations of generators in multiplicatively invariant spaces
Multiplicatively invariant (MI) spaces are closed subspaces of L²(Ω, ) that are invariant under multiplication by (some) functions in ; they were first introduced by Bownik and Ross (2014). In this paper we work with MI spaces that are finitely generated. We prove that almost every set of functions constructed by taking linear combinations of the generators of a finitely generated MI space is a new set of generators for the same space, and we give necessary and sufficient conditions on the linear...
Liouville theorems for semilinear equations on the Heisenberg group
Lipschitz classes and Poisson integrals on stratified groups
Lipschitz continuity of densities of stable semigroups of measures
In this paper we raise the question of regularity of the densities of a symmetric stable semigroup of measures on the homogeneous group N under the mere assumption that the densities exist. (For a criterion of the existence of the densities of such semigroups see [11].)
Lipschitz Spaces on Compact Lie Groups.
Littlewood functions, Hankel multipliers and power bounded operators on a Hilbert space
Littlewood-Paley characterization of Hölder-Zygmund spaces on stratified Lie groups
We give a characterization of the Hölder-Zygmund spaces () on a stratified Lie group in terms of Littlewood-Paley type decompositions, in analogy to the well-known characterization of the Euclidean case. Such decompositions are defined via the spectral measure of a sub-Laplacian on , in place of the Fourier transform in the classical setting. Our approach mainly relies on almost orthogonality estimates and can be used to study other function spaces such as Besov and Triebel-Lizorkin spaces...
Littlewood-Paley -functions and multipliers for the Laguerre hypergroup.
Littlewood-Paley g-functions with rough kernels on homogeneous groups
Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾
Littlewood-Paley theory on solenoids
Local boundary data of eigenfunctions on a Riemannian symmetric space.
Local Hardy spaces on Chébli-Trimèche hypergroups
We investigate the local Hardy spaces on Chébli-Trimèche hypergroups, and establish the equivalence of various characterizations of these in terms of maximal functions and atomic decomposition.
Localization of Spherical Harmonic Expansions.