3 papers
math.FA2015
Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars
Heera Saini Aditi Sharma, Romesh Kumar
We discuss some properties of linear functionals on topological hyperbolic and topological bicomplex modules. The hyperbolic and bicomplex analogues of the uniform boundedness prin…
math.FA2015
Topological Bicomplex Modules
Romesh Kumar, Heera Saini
In this paper, we develop topological modules over the ring of bicomplex numbers. We discuss bicomplex convexivity, hyperbolic-valued seminorms and hyperbolic-valued Minkowski func…
math.FA2015
Bicomplex Weighted Hardy Spaces and Bicomplex C*-algebras
Romesh Kumar, Kulbir Singh, Heera Saini +1
In this paper we study the bicomplex version of weighted Hardy spaces. Further, we describe reproducing kernels for the bicomplex weighted Hardy spaces. In particular, we generaliz…