3 papers
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…
math.FA2026
When do Kernels Admit Characteristic Functions?
Caixing Gu, Shuaibing Luo, Georgios Tsikalas +1
A general framework for deriving characteristic functions for reproducing kernels that do not necessarily possess the complete Pick property was recently established by Bhattachary…
math.FA2024
De Branges-Rovnyak spaces generated by row Schur functions with mate
Hongxin Chen, Caixing Gu, Shuaibing Luo
In this paper, we study the de Branges-Rovnyak spaces generated by row Schur functions with mate . We prove that the polynomials are dense in $\mathcal{H}(B…