Certain Positive-Definite Kernels

DOI10.2307/2047839zbMath0677.60054OpenAlexW4229805846MaRDI QIDQ3833357

Mina Ossiander, Edward C. Waymire

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047839

zbMATH Keywords

positive definite kernelsBrownian sheettheorem of Schoenbergmultiparameter Brownian motionfractional Brownian kernel

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (6)

The multiplicative chaos of \(H=0\) fractional Brownian fields ⋮ Optimal kernel estimation of spot volatility of stochastic differential equations ⋮ Fractional Brownian motion via fractional Laplacian ⋮ Fractional Gaussian fields: a survey ⋮ Why is isotropy so prevalent in spatial statistics? ⋮ A generalisation of the fractional Brownian field based on non-Euclidean norms

Cites Work

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• Lévy's Brownian motion as a set-indexed process and a related central limit theorem
• A statistically important Gaussian process
• Martingales and stochastic integrals for processes with a multi-dimensional parameter
• Fractional Brownian Motions, Fractional Noises and Applications
• Metric Spaces and Positive Definite Functions

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