Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure

被引：3

作者：

Ghosh, Chinmay ^{[1
]}

Mondal, Soumen ^{[2
]}

机构：

[1] Kazi Nazrul Univ, Dept Math, Nazrul Rd,PO Kalla CH, Asansol 713340, W Bengal, India

[2] Dolua Dakshinpara Haridas Primary Sch, Murshidabad 742133, W Bengal, India

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2022年 / 32卷 / 03期

关键词：

Bicomplex measurable function; bicomplex Lebesgue integrable function; hyperbolic invariant measure;

D O I：

10.1007/s00006-022-01216-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：16