Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group
From MaRDI portal
Publication:6100298
DOI10.4171/rmi/1339zbMath1523.53034arXiv2107.04554OpenAlexW4212871826WikidataQ113691955 ScholiaQ113691955MaRDI QIDQ6100298
Publication date: 12 May 2023
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04554
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lusin approximation and horizontal curves in Carnot groups
- Interpolation of data by smooth nonnegative functions
- Étude de quelques algèbres tayloriennes
- Whitney's extension problem for \(C^m\)
- Higher-order tangents and Fefferman's paper on Whitney's extension problem
- Extension of \(C^{m, \omega}\)-smooth functions by linear operators
- Fitting a \(C^m\)-smooth function to data. II
- The Whitney problem of existence of a linear extension operator
- Differentiable functions defined in closed sets. A problem of Whitney
- Lipschitz selections of set-valued mappings and Helly's theorem
- 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
- A coordinate-free proof of the finiteness principle for Whitney's extension problem
- A sharp form of Whitney's extension theorem
- Fitting a \(C^m\)-smooth function to data. I.
- Fitting a \(C^m\)-smooth function to data. III.
- Pliability, or the Whitney extension theorem for curves in Carnot groups
- \(C^m\) extension by linear operators
- Extension theorem
- Finiteness principles for smooth selection
- Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions
- Whitney’s extension problems and interpolation of data
- Differentiable functions
- Remainder Estimates in Taylor's Theorem
- Differentiable Functions Defined in Closed Sets. I
- A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group
- Rectifiability and perimeter in the Heisenberg group