Identifying Bergman space functions from intervals
Complex Variables
2026-02-17 v1 Analysis of PDEs
Functional Analysis
Optimization and Control
Abstract
We characterize functions of a Bergman space on a square by their values and derivatives on the diagonals. This problem is connected with the reachable space of the one-dimensional heat equation on a finite interval with boundary -controls.
Cite
@article{arxiv.2602.14801,
title = {Identifying Bergman space functions from intervals},
author = {Andreas Hartmann and Marcu-Antone Orsoni},
journal= {arXiv preprint arXiv:2602.14801},
year = {2026}
}
Comments
19 pages, 4 figures