Research Article
Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure
https://doi.org/10.21203/rs.3.rs-509111/v1
This work is licensed under a CC BY 4.0 License
posted
You are reading this latest preprint version
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.
AMS Subject Classification (2010) : 28E99, 30G35.
Bicomplex measurable function
Bicomplex Lebesgue integrable function
Hyperbolic invariant measure
Competing interests:
We have no conflict of interests.
posted
You are reading this latest preprint version