The boundary control approach to the Titchmarsh-Weyl $m-$function
Analysis of PDEs
2025-05-30 v1 Spectral Theory
Abstract
We link the Boundary Control Theory and the Titchmarsh-Weyl Theory. This provides a natural interpretation of the amplitude due to Simon and yields a new efficient method to evaluate the Titchmarsh-Weyl function associated with the Schr\"{o}dinger operator on with Dirichlet boundary condition at
Cite
@article{arxiv.2505.23332,
title = {The boundary control approach to the Titchmarsh-Weyl $m-$function},
author = {S. A. Avdonin and V. S. Mikhaylov and A. V. Rybkin},
journal= {arXiv preprint arXiv:2505.23332},
year = {2025}
}