×

Scaling limits of Gaussian vector fields. (English) Zbl 0382.60056


MSC:

60G60 Random fields
60G10 Stationary stochastic processes
60G15 Gaussian processes
Full Text: DOI

References:

[1] Chevalley, C., (Theory of Lie Groups (1946), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J) · JFM 67.0077.01
[2] Feller, W., (An Introduction to Probability Theory and its Applications, Vol. 2 (1971), Wiley: Wiley New York) · Zbl 0138.10207
[3] Hille, E.; Phillips, R. S., (Functional Analysis and Semi-groups (1957), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · Zbl 0078.10004
[4] Ito, K., Isotropic random current, (Proc. of the Third Berkeley Symp. on Math. Stat. and Prob., Vol. 2 (1956)), 125-132, Berkeley · Zbl 0071.13201
[5] Kolmogorov, A. N., Wienersche Spiralen und einige andere interessante Kurven in Hilbertschen Raum, Dokl. Akad. Nauk SSSR, 26, 115-118 (1940) · Zbl 0022.36001
[6] Lévy, P., A special problem of Brownian motion, and a general theory of Gaussian random functions, (Proc. of the Third Berkeley Symp. on Math. Stat. and Prob., Vol. 2 (1956)), 133-175, Berkeley · Zbl 0071.35101
[7] v. Neumann, J.; Schoenberg, I. J., Fourier integrals and metric geometry, Trans. Amer. Math. Soc., 50, 226-251 (1941) · Zbl 0028.41002
[8] Yaglom, A. M., Some classes of random fields in \(n\)-dimensional space, related to stationary random processes, Theor. Probability Appl., 2, 272-320 (1957), (English translation)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.