Analyse spectrale et théorème de prédiction statistique de Wiener

Pierre Cartier

Séminaire Bourbaki (1960-1961)

  • Volume: 6, page 197-218
  • ISSN: 0303-1179

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Cartier, Pierre. "Analyse spectrale et théorème de prédiction statistique de Wiener." Séminaire Bourbaki 6 (1960-1961): 197-218. <http://eudml.org/doc/109611>.

@article{Cartier1960-1961,
author = {Cartier, Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {197-218},
publisher = {Société Mathématique de France},
title = {Analyse spectrale et théorème de prédiction statistique de Wiener},
url = {http://eudml.org/doc/109611},
volume = {6},
year = {1960-1961},
}

TY - JOUR
AU - Cartier, Pierre
TI - Analyse spectrale et théorème de prédiction statistique de Wiener
JO - Séminaire Bourbaki
PY - 1960-1961
PB - Société Mathématique de France
VL - 6
SP - 197
EP - 218
LA - fre
UR - http://eudml.org/doc/109611
ER -

References

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  1. [1] Cooper ( J.L.B.). - One-parameter semigroups of isometric operators in Hilbert space, Annals of Math., t. 48, 1947, p. 827-842. Zbl0029.14101MR27129
  2. [2] Dixmier ( Jacques). - Sur la relation i(PQ - QP) = I , Comp. Math., t. 13, 1958, p. 263-269. Zbl0083.34703MR101478
  3. [3] Doob ( J.L.). - Stochastic processes. - New York, J. Wiley and sons, 1953. Zbl0053.26802MR58896
  4. [4] Kolmogoroff ( A.). - Interpolation and extrapolation von stationären zufälligen Folgen, Bull. Acad. Sc. U. R. S. S., Série mathématique, t. 5, 1941, p. 3-14. Zbl0024.15901MR4416
  5. [5] Loomis ( L.H.). - Note on a theorem of Mackey, Duke math. J., t. 19, 1952, p. 641-645. Zbl0047.35501MR50596
  6. [6] Mackey ( G.W.). - A theorem of Stone and von Neumann, Duke math. J., t. 16, 1949, p. 313-326. Zbl0036.07703MR30532
  7. [7] von Neumann ( J.). - Die Eindeutigkeit der Schrödingerschen Operatoren, Math. Ann., t. 104, 1931, p. 570-578. Zbl0001.24703MR1512685
  8. [8] Rellich ( F.). - Der Eindeutigkeitssatz für die Lösungen der quantenmechanischen Vertauschungsrelationen, Nachr. Akad. Wiss. Göttingen, Math.-phys. Kl., 1946, p. 107-115. Zbl0061.47104MR22310
  9. [9] Stone ( M.H.). - Linear transformations in Hilbert space, III : Operational methods and group theory, Proc. Nat. Acad. Sc. U. S. A., t, 16, 1930, p. 172-175. Zbl56.0357.01JFM56.0357.01
  10. [10] Weyl ( Hermann). - The theory of groups and quantum mechanics. - New York, Dover Publications, 1950. Zbl0041.56804
  11. [11] Wiener ( Norbert). - Extrapolation, interpolation and smoothing of stationary time series, with engineering applications. - New York, J. Wiley and sons, 1950. Zbl0036.09705MR31213

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