The envelope of holomorphy of a classical truncated tube domain

TL;DR

This paper investigates the envelope of holomorphy for a specific class of complex domains called classical truncated tube domains, providing insights into their complex analytic structure.

Contribution

It characterizes the envelope of holomorphy for classical truncated tube domains, a problem not previously fully addressed in complex analysis.

Findings

Explicit description of the envelope of holomorphy.

Identification of boundary behaviors of holomorphic functions.

Extension properties of holomorphic functions on these domains.

Abstract

We present the envelope of holomorphy of a classical truncated tube domain.