Year: 2025
Type: article
Abstract: We study canonical systems that are reflectionless on an open set. In this situation, the two half line m functions are holomorphic continuations of each other and may thus be combined into a single holomorphic function. This idea was explored in [Trans. Amer. Math. Soc. 368 (2016), no. 2, 1251–1270], and we continue these investigations here. We focus on Dirac operators and especially their interplay with canonical systems, and we provide a more general and abstract framework.
Source: Journal of Spectral Theory
DOI: 10.4171/jst/577
Authors: Christian Remling, Jie Zeng
Institutions: University of Oklahoma, The University of Texas at Tyler
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413431303