Orthogonality from disjoint support in reproducing kernel Hilbert spaces

DOI10.1016/j.jmaa.2008.08.030zbMath1159.46014OpenAlexW2015303557MaRDI QIDQ952158

Haizhang Zhang

Publication date: 6 November 2008

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.2008.08.030

zbMATH Keywords

Sobolev spacesreproducing kernel Hilbert spacesreproducing kernelsorthogonalitydisjoint supporttranslation invariant kernels

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (4)

Generalized semi-inner products with applications to regularized learning ⋮ Unbounded Hermitian operators and relative reproducing kernel Hilbert space ⋮ On Some Linear Operators Preserving Disjoint Support Property ⋮ Analysis of unbounded operators and random motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the solution of moment problems by reproducing kernel methods
• Regularization networks and support vector machines
• Learning gradients by a gradient descent algorithm
• Multiscale kernels
• Some results on Tchebycheffian spline functions and stochastic processes
• On the mathematical foundations of learning
• Representations of inverse functions
• ESTIMATING THE APPROXIMATION ERROR IN LEARNING THEORY
• Reproducing kernel Hilbert space method for optimal interpolation of potential field data
• On the regularized Whittaker-Kotel’nikov-Shannon sampling formula
• Interpolation for multipliers on reproducing kernel Hilbert spaces
• Shannon sampling and function reconstruction from point values
• Learning Theory
• Equivalent Norms for Sobolev Spaces
• Bounds for Truncation Error of the Sampling Expansion
• On Learning Vector-Valued Functions
• Theory of Reproducing Kernels

This page was built for publication: Orthogonality from disjoint support in reproducing kernel Hilbert spaces