On the Representation of Holomorphic Functions on Polyhedra

TL;DR

This paper extends the Oka theorem for holomorphic functions on polyhedra, providing bounds on the extension norm through operator theory techniques.

Contribution

It generalizes the Oka extension theorem and introduces operator theory methods to bound the extension norm.

Findings

Established bounds on the norm of holomorphic function extensions

Generalized the Oka extension theorem to broader contexts

Applied operator theory to complex analysis problems

Abstract

We generalize the Oka extension theorem, and obtain bounds on the norm of the extension, by using operator theory.