Agler decomposition 1characteristic functions 1invariant subspaces 1kernel theory 1reproducing kernels 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.FA2026
When do Kernels Admit Characteristic Functions?
Caixing Gu, Shuaibing Luo, Georgios Tsikalas +1
The paper proves that a reproducing kernel admits a characteristic function exactly when a Beurling-type invariant subspace condition holds, and this condition can be expressed as…
math.FA2026
Beurling Criteria for Reproducing Kernels
Shuaibing Luo, Scott McCullough, Georgios Tsikalas
A classical theorem due to Beurling-Lax-Halmos characterizes the invariant subspaces of the unilateral shift as ranges of isometric multiplication operators acting on the Hardy spa…