Some slice regular functions in several variables and fiber bundles

2023/04/17 by Cervantes, José Oscar González
#Complex Variables (math.CV) #FOS: Mathematics #Fiber bundles #Holomorphic functions of several complex variables #Quaternionic slice regular functions

paper · doi:10.48550/arxiv.2304.07929

Abstract

This work presents a family of fiber bundles where the total spaces are associated with holomorphic functions on several complex variables and the basis spaces extend the notion of quaternionic slice regular functions of several quaternionic variables. This paper also shows how the fiber bundle theory justifies the domain these slice regular function in several variables.

Related

• On fiber bundles and quaternionic slice regular functions
• On slice regular Bergman spaces and fiber bundles
• Algebra of slice regular functions on non-symmetric domains in several quaternionic variables
• Holomorphicity of slice-regular functions
• A direct approach to quaternionic manifolds