A generalization of Forelli's theorem

TL;DR

This paper extends Forelli's theorem to higher dimensions, generalizing a 2005 result by Chirka and broadening its applicability in complex analysis.

Contribution

It provides a higher-dimensional generalization of Forelli's theorem, expanding the scope of the original two-dimensional result.

Findings

Proves an all-dimensional version of Chirka's 2005 theorem.

Establishes new conditions under which the generalized theorem holds.

Broadens the understanding of complex analytic structures in multiple dimensions.

Abstract

The purpose of this paper is to present a generalization of Forelli's theorem. In particular, we prove an all dimensional version of the two-dimensional theorem of Chirka of 2005.