Notes on ordered reproducing Hilbert spaces over the complex plane

DOI10.1016/j.jmaa.2005.10.013zbMath1109.46031OpenAlexW1974078138MaRDI QIDQ820030

Shengzhao Hou, Xianmin Xu

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.013

zbMATH Keywords

entire functionFock spacereproducing Hilbert spaceordered reproducing Hilbert space

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

Beurling’s phenomenon on analytic Hilbert spaces over the complex plane, Ordered reproducing Hilbert spaces over \(\mathbb C^2\)

Cites Work

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• Analytic Hilbert spaces over the complex plane
• Defect operators, defect functions and defect indices for analytic submodules
• Homogeneous quasi-invariant subspaces of the fock space
• Defect operators for submodules of H[2[d]]
• Quasi-invariant subspaces generated by polynomials with nonzero leading terms
• Beurling type Invariant Subspaces of the Bergman Spaces
• Invariant subspaces, quasi-invariant subspaces, and Hankel operators.