Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure
Functional Analysis
2022-07-19 v1 Complex Variables
Abstract
In this article we have studied bicomplex valued measurable functions on an arbitrary measurable space. We have established the bicomplex version of Lebesgue's dominated convergence theorem and some other results related to this theorem. Also we have proved the bicomplex version of Lebesgue-Radon-Nikodym theorem. Finally we have introduced the idea of hyperbolic version of invariant measure.
Keywords
Cite
@article{arxiv.2105.09289,
title = {Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure},
author = {Chinmay Ghosh and Soumen Mondal},
journal= {arXiv preprint arXiv:2105.09289},
year = {2022}
}