New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
From MaRDI portal
Publication:5004074
DOI10.7494/OpMath.2021.41.3.283zbMath1470.46046arXiv2011.09525OpenAlexW3153866826MaRDI QIDQ5004074
Palle E. T. Jorgensen, Daniel Alpay
Publication date: 30 July 2021
Published in: Opuscula Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.09525
Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Positive definite functions on groups, semigroups, etc. (43A35)
Related Items (6)
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces ⋮ Finitely additive functions in measure theory and applications ⋮ Representation theory and multilevel filters ⋮ Stochastics and dynamics of fractals ⋮ Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting ⋮ mu-Brownian motion, dualities, diffusions, transforms, and reproducing kernel Hilbert spaces
Cites Work
- On a kernel-based method for pattern recognition, regression, approximation, and operator inversion
- Approximation of the viability kernel
- Perturbation theory for linear operators.
- Approximation of probabilistic constraints in stochastic programming problems with a probability measure kernel
- Model-invariant viability kernel approximation
- On discrete analytic functions: products, rational functions and reproducing kernels
- Approximation of Hypersingular Integral Operators With Cauchy Kernel
- Generalized Fock spaces and the Stirling numbers
- Kernel Methods for the Approximation of Nonlinear Systems
- Theory of Reproducing Kernels
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
