Laurent-Hua Luogeng Series with Respect to the Matrix Ball from Space Cn [m × m

Abstract

The aim of this work is to obtain multidimensional analogs of the Laurent series with respect to the matrix ball from space Cn [m × m]. To do this, we first introduce the concept of a "layer of the matrix ball" from Cn [m × m], then in this layer of the matrix ball, we use the properties of integrals of the Bochner-Hua Luogeng type to obtain analogs of the Laurent ser