Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Dou Xinyuan"'
Recently, we introduced domains of slice regularity in the space $\mathbb{H}$ of quaternions and also proved that domains of slice regularity satisfy a symmetry with respect to paths, called $2$-path-symmetry. In this paper, we give a full characteri
Externí odkaz:
http://arxiv.org/abs/2405.03394
This paper extends the $*$-product from slice analysis to weakly slice analysis in several quaternionic variables, focusing on non-axially symmetric domains. It diverges from traditional applications in axially symmetric domains to address slice regu
Externí odkaz:
http://arxiv.org/abs/2401.04401
In this research, we study zeroes of weakly slice regular functions within the framework of several quaternionic variables, specifically focusing on non-axially symmetric domains. Our recent work introduces path-slice stem functions, along with a nov
Externí odkaz:
http://arxiv.org/abs/2401.04899
The primary objective of this paper is to establish an algebraic framework for the space of weakly slice regular functions over several quaternionic variables. We recently introduced a $*$-product that maintains the path-slice property within the cla
Externí odkaz:
http://arxiv.org/abs/2401.04895
Publikováno v:
Ann. Mat. Pura Appl. (4), 202 (2023), no.5, 2421--2446
The aim of this paper is to extend the so called slice analysis to a general case in which the codomain is a real vector space of even dimension, i.e. is of the form $\mathbb{R}^{2n}$. We define a cone $\mathcal{W}_\mathcal{C}^d$ in $[End(\mathbb{R}^
Externí odkaz:
http://arxiv.org/abs/2011.13770
Publikováno v:
J. Geom. Anal. 31 (2021), no. 11, 11312--11337
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one consists in requiring that the restriction to any complex plane is holomorphic (with the same comple
Externí odkaz:
http://arxiv.org/abs/2010.15089
Slice analysis is a generalization of the theory of holomorphic functions of one complex variable to quaternions. Among the new phenomena which appear in this context, there is the fact that the convergence domain of $f(q)=\Sigma_{n\in\mathbb{N}}(q-p
Externí odkaz:
http://arxiv.org/abs/2003.10487
Autor:
Dou, Xinyuan, Ren, Guangbin
We generalize the representation formula from slice-domains of regularity to general Riemann slice-domains. This result allows us to extend the $*$-product of slice regular functions on axially symmetric domains to certain Riemann slice-domains by in
Externí odkaz:
http://arxiv.org/abs/1809.07979
Autor:
Zhi, Lu, Zhang, Chaoqun, Liu, Zhenzhen, Liu, Tao, Dou, Xinyuan, Chen, Yanqiu, Ou, Rongxian, Wang, Qingwen
Publikováno v:
In Composites Part B 1 February 2022 230
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