Distributional boundary values of holomorphic functions on product domains
Complex Variables
2015-05-07 v1 Functional Analysis
Abstract
We show that holomorphic functions of polynomial growth on domains with corners have distributional boundary values in an appropriate sense, provided the corners are generic CR manifolds. We prove an analog of the Bochner-Hartogs theorem for these boundary values for the simplest such domains, the product domains.
Keywords
Cite
@article{arxiv.1505.01230,
title = {Distributional boundary values of holomorphic functions on product domains},
author = {Debraj Chakrabarti and Rasul Shafikov},
journal= {arXiv preprint arXiv:1505.01230},
year = {2015}
}