Identifying Bergman space functions from intervals

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Andreas Hartmann, Marcu-Antone Orsoni
DOI: 10.48550/arxiv.2602.14801
Cited by: 0

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 $L^2$-controls.

Fields of Study & Subjects

Holomorphic and Operator Theory Differential Equations and Boundary Problems Mathematical Analysis and Transform Methods

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint