activity
20062022
most citedThe Fundamental Theorems in the framework of Bicomplex Topological Modules

17 citations · 18 across the 12 of their papers we have counts for

collaborators

14 papers

math.FA2022

Bicomplex Mergelyan's Approximation Theorem

Amjad Ali, Mohd Arif, Romesh Kumar

In this paper we prove Area theorem, Biebarbach`s Theorem, Koebe Quarter Theorem and Mergelyan`s Approximation Theorem in the bicomplex framework.

math.FA2022

Expansivity Property for Composition Operators on Orlicz -Lorentz Spaces

Romesh Kumar, Rajat Singh

In this paper, we investige the concept of expansivity for composition operators on Orlicz-Lorentz spaces. We study necessary and sufficient conditions for expansivity, positive ex…

math.FA2022

Li-Yorke Chaos for Composition operators on Orlicz-Lorentz spaces

Rajat Singh, Aditi Sharma, Romesh Kumar

In this paper, we study the Li-Yorke chaotic composition operators on Orlicz-Lorentz space. In fact, necessary and sufficient conditions are given for Li-Yorke chaotic composition…

math.FA2022

Li-Yorke and Expansive Composition Operators on Lorentz Spaces

Romesh Kumar, Rajat Singh

In this paper, we investigate Li-Yorke composition operators and some of their variations on Lorentz spaces. Further, we also study expansive composition operators on these spaces.…

math.PR2016

Hyperbolic valued random variables and conditional expectation

Romesh Kumar, Kailash Sharma

In this paper, we introduce the concept of hyperbolic valued random variables, their expectation and moments. We develop the hyperbolic analogue of Binomial and Poisson distributio…

math.FA2015

2-Normed D-Modules and Hahn-Banach Theorem for D-linear 2-functionals

Kulbir Singh, Romesh Kumar

In this paper we introduce the notion of D-valued 2-norm on hy- perbolic or D-valued modules. Further, we define D-linear 2-functional on these modules and consider some of their p…