English

Dot product invariant valuations on Lip$(S^{n-1})$

Functional Analysis 2019-08-27 v2 Metric Geometry

Abstract

We provide an integral representation for continuous, rotation invariant and dot product invariant valuations defined on the space Lip(Sn1)(S^{n-1}) of Lipschitz continuous functions on the unit nn-sphere.

Cite

@article{arxiv.1906.04118,
  title  = {Dot product invariant valuations on Lip$(S^{n-1})$},
  author = {Andrea Colesanti and Daniele Pagnini and Pedro Tradacete and Ignacio Villanueva},
  journal= {arXiv preprint arXiv:1906.04118},
  year   = {2019}
}

Comments

27 pages