Cylindric singular measures on a Hilbert space. Equivalence and ortogonality

Ali Deaibes; Khalil Noureddine

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 4, page 581-595
  • ISSN: 0010-2628

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Deaibes, Ali, and Noureddine, Khalil. "Mesures cylindriques singulières sur un espace de Hilbert. Équivalence et orthogonalité." Commentationes Mathematicae Universitatis Carolinae 024.4 (1983): 581-595. <http://eudml.org/doc/17279>.

@article{Deaibes1983,
author = {Deaibes, Ali, Noureddine, Khalil},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cylindrical measure; decomposition; Gaussian measure; Radon measure},
language = {fre},
number = {4},
pages = {581-595},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Mesures cylindriques singulières sur un espace de Hilbert. Équivalence et orthogonalité},
url = {http://eudml.org/doc/17279},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Deaibes, Ali
AU - Noureddine, Khalil
TI - Mesures cylindriques singulières sur un espace de Hilbert. Équivalence et orthogonalité
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 4
SP - 581
EP - 595
LA - fre
KW - cylindrical measure; decomposition; Gaussian measure; Radon measure
UR - http://eudml.org/doc/17279
ER -

References

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  2. BORELL C., Gaussian Radon measures on locally convexe spaces, Math. Scand., 38, 1976, 265-284. (1976) MR0436303
  3. BOURBAKI N., Intégration, chapitre 1, 2, 3, 4, Hermann, Paris, 1965. (1965) Zbl0136.03404MR0244924
  4. BOURBAKI N., Intégration, chapitre 9, Hermann, Paris, 1969. (1969) Zbl0189.14201MR0276436
  5. BUCHWALTER H., Intégration sur un espace topologique et mesure de Wiener, Pub. Dép. Math. Lyon, 8, 1977. (1977) 
  6. BUCHWALTER H., Analyse fonctionnelle, Module 214, Pub. Dep. Math. Lyon, 1979. (1979) 
  7. DUDLEY R. M., FELDMAN J., LE CAM L., On semi-norms and probabilities, and abstract Wiener spaces, Ann. Of Math., 93, 1971. 390-408. (1971) MR0279272
  8. FELDMAN J., Equivalence and perpendicularity of Gaussian processes, Pacif. J. Math., 8, 1958, 690-708. (1958) Zbl0084.13001MR0102760
  9. NOUREDDINE K., DEAIBES A., Fonctions et mesures cylindriques sur un espace de Hilbert, Sém. Analyse fonct., Fac. Se, U.L., Beyrouth, 1980. (1980) 
  10. NOUREDDINE K., DEAIBES A., Sur un théorème de P. Lévy, Bull. Soc. Roy. Se. Liège, 50e année, Nº 1-2, 1981, 115-123. (1981) Zbl0494.46049MR0639353
  11. SCHWARTZ L., Radon measures, Oxford Uni. Press, London, 1973. (1973) Zbl0298.28001MR0426084
  12. SEGAL I. E., Distributions in Hilbert spaces and Canonical systems of operators, Trans. Amer. Math. Soc. 88, 1958, 12-41. (1958) MR0102759
  13. SKOROKHOD A. V., Integration in Hilbert spaces, Springer, 1974. (1974) 
  14. ZANEN, Integration, North-Holland, 1967. (1967) 

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