English

Extension of local positive definite $\mathbb{Z}_{2}^{n}$-superfunctions

Differential Geometry 2023-01-02 v1

Abstract

By defining a concept of boundedness for Z2n \mathbb{Z}_2^n -superfunction, we show that each local positive definite Z2n \mathbb{Z}_2^n -superfunctions, which is bounded in some sense, on a Z2n \mathbb{Z}_2^n -Lie supergroup has a positive definite extension to all of the Z2n\mathbb{Z}_{2}^{n}-Lie supergroup.

Keywords

Cite

@article{arxiv.2212.14217,
  title  = {Extension of local positive definite $\mathbb{Z}_{2}^{n}$-superfunctions},
  author = {Fatemeh Nikzad Pasikhani and Mohammad Mohammadi and Saad Varsaie},
  journal= {arXiv preprint arXiv:2212.14217},
  year   = {2023}
}