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Recently, fiber bundle theory has been widely used in the study of the slice regular functions and continuing with this line of research, the present work shows that the quaternionic slice regular Bergman space is the base space of a coordinate sphere bundle and some properties of quaternionic slice regular Bergman theory are studied from the point of view of the fiber bundle theory.

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On Slice Regular Bergman Spaces and Fiber Bundles

  • 会议论文

  • 发表日期：

    2025年

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  • José Oscar González-Cervantes

摘要

Recently, fiber bundle theory has been widely used in the study of the slice regular functions and continuing with this line of research, the present work shows that the quaternionic slice regular Bergman space is the base space of a coordinate sphere bundle and some properties of quaternionic slice regular Bergman theory are studied from the point of view of the fiber bundle theory.