Spectral representation of isotropic random currents

Eugene Wong; Moshe Zakai

Séminaire de probabilités de Strasbourg (1989)

  • Volume: 23, page 503-526

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Wong, Eugene, and Zakai, Moshe. "Spectral representation of isotropic random currents." Séminaire de probabilités de Strasbourg 23 (1989): 503-526. <http://eudml.org/doc/113698>.

@article{Wong1989,
author = {Wong, Eugene, Zakai, Moshe},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {isotropic random currents; homogeneity; isotropy; Ito's characterization of the spectral measure; spectral representation},
language = {eng},
pages = {503-526},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Spectral representation of isotropic random currents},
url = {http://eudml.org/doc/113698},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Wong, Eugene
AU - Zakai, Moshe
TI - Spectral representation of isotropic random currents
JO - Séminaire de probabilités de Strasbourg
PY - 1989
PB - Springer - Lecture Notes in Mathematics
VL - 23
SP - 503
EP - 526
LA - eng
KW - isotropic random currents; homogeneity; isotropy; Ito's characterization of the spectral measure; spectral representation
UR - http://eudml.org/doc/113698
ER -

References

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  1. [1] H. Flanders, Differential Forms, Academic Press, 1963. Zbl0112.32003MR162198
  2. [2] K. Ito, "isotropic random current," Proceedings, Third Berkeley Symp. on Math. Stat. and Prob., 1956, pp. 125-32. Zbl0071.13201MR84890
  3. [3] S. Ito, "On the canonical form of turbulence," Nagoya Math. J., vol. 2, 1951, pp. 83-92. Zbl0042.43303MR40619
  4. [4] V. Mandrekar, "Markov properties of random fields," Probabilistic Analysis and Related Topics, vol. 3, pp. 161-193, A.T. Bharucha-Reid (ed.), Academic Press, 1983. Zbl0547.60055MR748856
  5. [5] G. deRham, Differentiable Manifolds, Springer-Verlag, 1982. Zbl0534.58003
  6. [6] Y.A. Rozanov, Markov Random Fields, Academic Press, 1982. MR676644
  7. [7] L. Schwartz, Theory des distributions, Herman, 1966. 
  8. [8] C. von Westenholtz, Differential Forms in Mathematical Physics, North Holland, 1981. Zbl0391.58001MR641034
  9. [9] E. Wong and B. Hajek, Stochastic Processes in Engineering Systems, Springer-Verlag, 1985. Zbl0545.60003MR787046
  10. [10] E. Wong and M. Zakai, "Markov processes on the plane," Stochastics, vol. 15, 1985, pp. 311-333. Zbl0588.60043MR826989
  11. [11] E. Wong and M. Zakai, "Martingale differential forms," Prob. Th. Rel. Fields, vol. 74, 1987, pp. 429-453. Zbl0612.60045MR873888
  12. [12] E. Wong and M. Zakai, "Isotropic Gauss Markov currents," to appear in Prob. Th. Rel. Fields. Zbl0659.60120MR997434
  13. [13] A.M. Yaglom, "Some classes of random fields in n-dimensional space related to stationary random processes , "Theory of Probability and Its Applications, vol. 2, 1957, pp. 273-320. 
  14. [14] A.M. Yaglom, Correlation theory of stationary and related random functions. Vol. I, II. Springer-Verlag, New York, 1987 Zbl0685.62077

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