108 citations · 529 across the 96 of their papers we have counts for
6 papers · 1 filter
Octonionic Para-linear Self-Adjoint Operators and Spectral Decomposition
Qinghai Huo, Guangbin Ren, Irene Sabadini
This paper presents a groundbreaking advancement in the theory of operators defined on octonionic Hilbert spaces, successfully resolving a fundamental challenge that has persisted…
Convergence domains of sedenionic star-power series
Xinyuan Dou, Ming Jin, Guangbin Ren +1
The theory of slice regular (also called hyperholomorphic) functions is a generalization of complex analysis originally given in the quaternionic framework, and then further extend…
New Taylor and Laurent series of axially harmonic, Fueter regular and polyanalytic functions
Fabrizio Colombo, Antonino De Martino, Irene Sabadini
The Fueter-Sce mapping theorem stands as one of the most profound outcomes in complex and hypercomplex analysis, producing hypercomplex generalizations of holomorphic functions. In…
The -resolvent estimates for the Dirac operator on hyperbolic and spherical spaces
Ivan Beschastnyi, Fabrizio Colombo, Simão Andrade Lucas +1
This seminal paper marks the beginning of our investigation into on the spectral theory based on -spectrum applied to the Dirac operator on manifolds. Specifically, we examine i…
Generalized partial-slice monogenic functions: the octonionic case
Zhenghua Xu, Irene Sabadini
In a recent paper [Trans. Amer. Math. Soc. 378 (2025), 851-883], the concept of generalized partial-slice monogenic (or regular) function was introduced over Clifford algebras. The…
The Corona Problem for Slice Hyperholomorphic Functions
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
This paper addresses the Corona problem for slice hyperholomorphic functions for a single quaternionic variable. While the Corona problem is well-understood in the context of one c…