Reproducing kernel Hilbert spaces via sampling in discrete spaces

DOI10.1007/s41478-022-00535-6OpenAlexW4317935989MaRDI QIDQ6117987

R. Asadi, Mohammadreza Foroutan

Publication date: 23 February 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00535-6

zbMATH Keywords

Laplace operatormultiplication operator\(E\)-valued reproducing kernelsrelative \(E\)-valued reproducing kernels

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

• A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks
• Restrictions and extensions of semibounded operators
• A Hilbert space approach to effective resistance metric
• Vector-valued reproducing kernel Banach spaces with applications to multi-task learning
• Lagrange polynomials, reproducing kernels and cubature in two dimensions
• Relative reproducing kernel Hilbert spaces
• VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES AND UNIVERSALITY
• VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES OF INTEGRABLE FUNCTIONS AND MERCER THEOREM
• The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications
• Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems
• Refinement of Operator-valued Reproducing Kernels
• Operator Theory

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