On the Cauchy–Szegö Kernel for Quaternion Siegel Upper Half-Space

Abstract

The work is dedicated to the construction of the Cauchy–Szego kernel for the Cauchy–Szego projection integral operator from the space of \(L^2\)-integrable functions defined on the boundary of the quaternion Siegel upper half-space to the space of boundary values of the quaternion regular functions of the Hardy space over the quaternion Siegel upper half-space.