arXiv subjects

Heera Saini

Publications and source records attributed to Heera Saini.

2 recordsLinked to original sources

arXiv2015

Topological Bicomplex Modules

In this paper, we develop topological modules over the ring of bicomplex numbers. We discuss bicomplex convexivity, hyperbolic-valued seminorms and hyperbolic-valued Minkowski functionals in bicomplex modules. We also study the conditions under which topological bicomplex modules and locally bicomplex convex modules become hyperbolic normable and hyperbolic metrizable respectively.

math.FA↗

arXiv2015

Bicomplex Weighted Hardy Spaces and Bicomplex C*-algebras

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 generalize some results which holds for the classical weighted Hardy spaces. We also introduce the notion of bicomplex C*-algebra and discuss some of its properties including maximal ideals in BC.

math.FA↗