94 research outputs found
Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure
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
- …