Realizations and factorizations of positive definite kernels

DOI10.1007/s10959-018-0868-3OpenAlexW2963779712WikidataQ114225102 ScholiaQ114225102MaRDI QIDQ2330416

Feng Tian, Palle E. T. Jorgensen

Publication date: 22 October 2019

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03614

zbMATH Keywords

harmonic analysiscovariancereproducing kernel Hilbert spaceGaussian free fieldsgeneralized Ito integration

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Numerical methods for integral transforms (65R10) General harmonic expansions, frames (42C15) Applications of functional analysis in probability theory and statistics (46N30) Discrete potential theory (31C20)

Related Items (7)

Harmonic analysis on graphs via Bratteli diagrams and path-space measures ⋮ Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space ⋮ Conditional mean embedding and optimal feature selection via positive definite kernels ⋮ Harmonic analysis of network systems via kernels and their boundary realizations ⋮ Stochastics and dynamics of fractals ⋮ On 2-inner product spaces and reproducing property ⋮ mu-Brownian motion, dualities, diffusions, transforms, and reproducing kernel Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extensions of positive definite functions. Applications and their harmonic analysis
• Martingale defocusing and transience of a self-interacting random walk
• The boundary value problem for discrete analytic functions
• States in the Hilbert space formulation and in the phase space formulation of quantum mechanics
• A large deviation principle for symmetric Markov processes with Feynman-Kac functional
• Geometry on probability spaces
• Singularities in Gaussian random fields
• Global properties of Dirichlet forms in terms of Green's formula
• Metric duality between positive definite kernels and boundary processes
• On a new class of structured reproducing kernel spaces
• Perturbation theory for linear operators.
• Reproducing kernels and choices of associated feature spaces, in the form of \(L^2\)-spaces
• Spanning trees and random walks on weighted graphs
• On local linear regression for strongly mixing random fields
• Approximation of Gaussian random fields: General results and optimal wavelet representation of the Lévy fractional motion
• The key renewal theorem for a transient Markov chain
• On discrete analytic functions: products, rational functions and reproducing kernels
• Positive definite kernels and boundary spaces
• Discrete reproducing kernel Hilbert spaces: Sampling and distribution of Dirac-masses
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• Fractals in Probability and Analysis
• Stochastic Processes Induced by Singular Operators
• Non-commutative Analysis
• Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups
• Affine fractals as boundaries and their harmonic analysis
• Boundary value problems on planar graphs and flat surfaces with integer cone singularities, I: The Dirichlet problem
• Comportement harmonique des densités conformes et frontière de Martin
• Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions
• Eigenvalue spectra of complex networks
• Inexact Uniformization Method for Computing Transient Distributions of Markov Chains
• An operator algebraic proof of Agler’s factorization theorem
• Infinite weighted graphs with bounded resistance metric
• A Reproducing Kernel Theory with Some General Applications
• Shannon sampling and function reconstruction from point values
• Theory of Reproducing Kernels

This page was built for publication: Realizations and factorizations of positive definite kernels