Representation of Euclidean Random Field-Reference-Cited by-同舟云学术

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Representation of Euclidean Random Field

Published:1987-03 Issue: Volume:105 Page:19-31
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Takenaka Shigeo

Abstract

P. Lévy introduced a notion of Brownian motion with parameter in a metric space (M, d), which is a centered Gaussian system satisfying

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Generalized Radon Transform and Lévy’s Brownian Motion, II

2. Independence of the increments of Gaussian random fields

3. Lévy's Brownian motion as a set-indexed process and a related central limit theorem

4. A unified radon inversion formula

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonexistence of fractional Brownian fields indexed by cylinders;Electronic Journal of Probability;2019-01-01

2. Invariance principles for self-similar set-indexed random fields;Transactions of the American Mathematical Society;2014-07-01

3. Anisotropic Fractional Brownian Random Fields as White Noise Functionals;Acta Mathematicae Applicatae Sinica, English Series;2005-11

4. An integrated fractional Fourier transform;Journal of Computational and Applied Mathematics;1994-09

5. Examples of self-similar stable processes;Stochastic Processes;1993

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