Agler decomposition 1characteristic functions 1invariant subspaces 1kernel theory 1reproducing kernels 1
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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.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…