On beta-function of tube of light cone

TL;DR

This paper constructs the B-function for a specific Hermitian symmetric space, namely the tube domain over the light cone, providing insights into its geometric and analytic properties.

Contribution

It introduces a new explicit construction of the B-function for the Hermitian symmetric space associated with the light cone tube domain.

Findings

Explicit form of the B-function for the light cone tube domain

Enhanced understanding of the geometric structure of the Hermitian symmetric space

Potential applications in complex analysis and differential geometry

Abstract

We construct $B$-function of the Hermitian symmetric space $\OO(n,2)/\OO(n)\times \OO(2)$ or equivalently of the tube $(Re z_0)^2> (Re z_1)^2+...+ (Re z_n)^2$ in $C^{n+1}