# Whitney extensions on symmetric spaces

arXiv: https://arxiv.org/abs/2407.21420 · HTML: https://mlsanity.com/paper/2407.21420/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 32 references that are in the map.
- First posted on arXiv 31 Jul 2024.

## Builds on (most cited first, 2 of 2)

- [On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups](https://mlsanity.com/paper/1802.03690/) (2018)
- [LieDetect: Detection of representation orbits of compact Lie groups from point clouds](https://mlsanity.com/paper/2309.03086/) (2023)

## Abstract (arXiv)

In 1934, H. Whitney introduced the problem of extending a function on a set of points in ℝn to an analytic function on the ambient space. In this article we prove Whitney type extension theorems for data on some homogeneous spaces. We use harmonic analysis on the homogeneous spaces and representation theory of compact as well as noncompact reductive groups.