Results 1 to 10 of about 46 (37)
Let G = ( RN ,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G , X0,X1, . . . ,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN . Assume that X1, . . . ,Xm (m N − 1) are homogeneous of degree one
V. Guliyev
semanticscholar +1 more source
A Cornucopia of Carnot Groups in Low Dimensions
Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
doaj +1 more source
Nowhere differentiable intrinsic Lipschitz graphs
Abstract We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow‐up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.
Antoine Julia+2 more
wiley +1 more source
Affine opers and conformal affine Toda
Abstract For g a Kac–Moody algebra of affine type, we show that there is an AutO‐equivariant identification between FunOpg(D), the algebra of functions on the space of g‐opers on the disc, and W⊂π0, the intersection of kernels of screenings inside a vacuum Fock module π0.
Charles A. S. Young
wiley +1 more source
Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups
Abstract We prove an almost everywhere convergence result for Bochner–Riesz means of Lp functions on Heisenberg‐type groups, yielding the existence of a p>2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the ...
Adam D. Horwich, Alessio Martini
wiley +1 more source
In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa+2 more
doaj +1 more source
Test vectors for non‐Archimedean Godement–Jacquet zeta integrals
Abstract Given an induced representation of Langlands type (π,Vπ) of GLn(F) with F non‐Archimedean, we show that there exist explicit choices of matrix coefficient β and Schwartz–Bruhat function Φ for which the Godement–Jacquet zeta integral Z(s,β,Φ) attains the L‐function L(s,π).
Peter Humphries
wiley +1 more source
Centered Hardy-Littlewood maximal function on product manifolds
Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
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A density condition for interpolation on the Heisenberg group [PDF]
(N). We prove a necessary and sufficient density conditionin order that such subsspaces possess the interpolation property with respect toa class of discrete subsets of N that includes the integer lattice.
B. Currey, A. Mayeli
semanticscholar +1 more source
Intertwining operators for the generalized principal series on a symmetric R -space [PDF]
Three questions about the intertwining operators for the generalized principal series on a symmetric R-space are solved : description of the functional kernel, both in the noncompact and in the compact picture , domain of convergence, meromorphic ...
J. Clerc
semanticscholar +1 more source