19 citations · 85 across the 29 of their papers we have counts for
29 papers
The twisted group algebra structure of the Cayley-Dickson algebra
Guangbin Ren, Xin Zhao
The Cayley-Dickson algebra has long been a challenge due to the lack of an explicit multiplication table. Despite being constructible through inductive construction, its explicit s…
Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley-Dickson algebras
Qinghai Huo, Guangbin Ren
Contrary to the simple structure of the tensor product of the quaternionic Hilbert space, the octonionic situation becomes more involved. It turns out that an octonionic Hilbert sp…
A new approach to slice analysis via slice topology
X. Dou, M. Jin, G. Ren +1
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show…
Adaptive Fourier decomposition of slice regular functions
Ming Jin, Ieng Tak Leong, Tao Qian +1
In the slice Hardy space over the unit ball of quaternions, we introduce the slice hyperbolic backward shift operator with the decomposition process $$f=e_a\langle f…
Para-linearity as the nonassociative counterpart of linearity
Qinghai Huo, Guangbin Ren
In an octonionic Hilbert space , the octonionic linearity is taken to fail for the maps induced by the octonionic inner products, and it should be replaced with the octonionic p…
A representation formula for slice regular functions over slice-cones in several variables
Xinyuan Dou, Guangbin Ren, Irene Sabadini
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}^{2…