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arXiv · 2212.14217

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

Fatemeh Nikzad Pasikhani·Mohammad Mohammadi·Saad Varsaie
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Abstract

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

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Fatemeh Nikzad Pasikhani, Mohammad Mohammadi, Saad Varsaie. 2022-12-29. Extension of local positive definite $\mathbb{Z}_{2}^{n}$-superfunctions. https://arxiv.org/abs/2212.14217

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