Yue Xin

activity

20232026

collaborators

8 papers

math.RA2026

The $ϕ$ -conjugation of quaternionic matrices and generalized Autonne-Takagi factorization

Cailing Yao, Bingzhe Hou, Yue Xin

Let $ϕ$ be a quaternion of modulus $1$ . In this article, we study some topics related to $ϕ$ -conjugation for quaternionic matrices, including $ϕ$ -Hermitian matrices, $ϕ$ -conjugate…

math.CV2026

The right invariant metric on the analytic automorphism group of the unit open disk induced by maximal modulus

Yue Xin, Yan Li, Bingzhe Hou

In this paper, we study the right invariant metric $d_{H^{\infty}}$ on the analytic automorphism group $Aut (D)$ of the unit open disk $D$ induced by maximal…

math.AT2025

Persistence modules induced by inner functions

Jiaxing He, Bingzhe Hou, Xiao Wang +1

As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topolo…

math.DS2025

Topologically conjugate classification of diagonal operators

Yue Xin, Bingzhe Hou

Let $ℓ^{p}$ , $1 \leq p < \infty$ , be the Banach space of absolutely $p$ -th power summable sequences and let $π_{n}$ be the natural projection to the $n$ -th coordinate for $n\in\mat…

math.NT2024

On the $Sp_{2 n}$ -distinguished automorphic spectrum of $U_{2 n}$

Kewen Wang, Yu Xin

Given a reductive group $G$ and a reductive subgroup $H$ , both defined over a number field $F$ , we introduce the notion of the $H$ -distinguished automorphic spectrum of $G$ and ana…

cs.CV2024

Mix-GENEO: A Flexible Filtration for Multiparameter Persistent Homology Detects Digital Images

Jiaxing He, Bingzhe Hou, Tieru Wu +1

Two important tasks in the field of Topological Data Analysis are building practical multifiltrations on objects and using TDA to detect the geometry. Motivated by the tasks, we bu…

math.CV2023

Continuity of inner-outer factorization and cross sections from invariant subspaces to inner functions

Bingzhe Hou, Yue Xin

Let $H^{\infty}$ be the Banach algebra of bounded analytic functions on the unit open disc $D$ equipped with the supremum norm. As well known, inner functions play an impo…