Higher order Whitney extension and Lusin approximation for horizontal curves in the Heisenberg group

Analysis on real and complex Lie groups (22E30) Sub-Riemannian geometry (53C17) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Cites Work

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Lusin approximation for horizontal curves in step 2 Carnot groups
Lusin approximation and horizontal curves in Carnot groups
Whitney's extension problem for $C^m$
An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
Geodesics in the Heisenberg group
On a global property of approximately differentiable functions
Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
Approximate Taylor polynomials and differentiation of functions
On the structure of finite perimeter sets in step 2 Carnot groups
Pointwise differentiability of higher order for sets
The Whitney extension theorem for $C^1$, horizontal curves in the Heisenberg group
On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds
A $C^m$ Lusin approximation theorem for horizontal curves in the Heisenberg group
Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups
A sharp form of Whitney's extension theorem
Pliability, or the Whitney extension theorem for curves in Carnot groups
On the $L^p$-differentiability of certain classes of functions
$C^m$ extension by linear operators
Lusin-type properties of convex functions and convex bodies
A $C^{m,\omega}$ Whitney extension theorem for horizontal curves in the Heisenberg group
Whitney's extension problem for multivariate $C^{1,\omega}$-functions
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
Whitney’s extension problems and interpolation of data
Differentiable functions
Remainder Estimates in Taylor's Theorem
Pointwise inequalities for Sobolev functions revisited
Analytic Extensions of Differentiable Functions Defined in Closed Sets
A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group
A function not constant on a connected set of critical points.
Differentiable functions defined in closed sets. I.
Rectifiability and perimeter in the Heisenberg group
A C^k Lusin approximation theorem for real-valued functions on Carnot groups
Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group

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