Isotropy of stationary random fields on lattice

Antonín Otáhal

Kybernetika (1986)

  • Volume: 22, Issue: 3, page 256-267
  • ISSN: 0023-5954

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Otáhal, Antonín. "Isotropy of stationary random fields on lattice." Kybernetika 22.3 (1986): 256-267. <http://eudml.org/doc/28634>.

@article{Otáhal1986,
author = {Otáhal, Antonín},
journal = {Kybernetika},
keywords = {weakly isotropic random field; spectral representation; spectral decomposition; hyperoktaedral group},
language = {eng},
number = {3},
pages = {256-267},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Isotropy of stationary random fields on lattice},
url = {http://eudml.org/doc/28634},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Otáhal, Antonín
TI - Isotropy of stationary random fields on lattice
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 3
SP - 256
EP - 267
LA - eng
KW - weakly isotropic random field; spectral representation; spectral decomposition; hyperoktaedral group
UR - http://eudml.org/doc/28634
ER -

References

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  1. C. W. Curtis, I. Reiner, Methods of Representation Theory with Applications to Finite Groups and Orders, vol. I, Interscience, New York-Chichester-Brisbane-Toronto 1981. (1981) Zbl0469.20001MR0632548
  2. R. H. Farrell, Representation of invariant measures, Illinois J. Math. 6 (1962), 447-467. (1962) Zbl0108.14203MR0150264
  3. I. I. Gichman, A. V. Skorochod, Theory of Random Processes, (in Russian), vol. I. Nauka, Moscow 1971. (1971) MR0341539
  4. W. E. Larrimore, Statistical inference on stationary random fields, Proc. IEEE 65 (1977), 6, 961-970. (1977) 
  5. G. de B. Robinson, Representation Theory of the Symmetric Group, Univ. of Toronto Press, Toronto 1961. (1961) Zbl0102.02002MR0125885
  6. E. M. Stein, G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton 1971. (1971) Zbl0232.42007MR0304972
  7. A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris 1965. (1965) 
  8. I. M. Yadrenko, Spectral Theory of Random Fields, (in Russian). Kiev 1980. (1980) MR0590889
  9. A. M. Yaglom, Some classes of random fields in n-dimensional space related to stationary random processes, (in Russian). Teor. Veroyatnost. i Primenen. 2 (1957), 292-338. (1957) MR0094844

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