Generalizations of Gross's and Minlos's theorems

Jia-An Yan

Séminaire de probabilités de Strasbourg (1989)

  • Volume: 23, page 395-404

How to cite


Yan, Jia-An. "Generalizations of Gross's and Minlos's theorems." Séminaire de probabilités de Strasbourg 23 (1989): 395-404. <>.

author = {Yan, Jia-An},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {cylinder function; characteristic functional of a cylinder measure},
language = {eng},
pages = {395-404},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Generalizations of Gross's and Minlos's theorems},
url = {},
volume = {23},
year = {1989},

AU - Yan, Jia-An
TI - Generalizations of Gross's and Minlos's theorems
JO - Séminaire de probabilités de Strasbourg
PY - 1989
PB - Springer - Lecture Notes in Mathematics
VL - 23
SP - 395
EP - 404
LA - eng
KW - cylinder function; characteristic functional of a cylinder measure
UR -
ER -


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  2. [2] Dudley R.M., Feldman J., Lecam L., On semi-norms and probabilities, and abstract Wiener spaces, Ann. M.93, 1971, p. 390-408. Zbl0193.44603MR279272
  3. [3] Gross L., Abstract Wiener Spaces, Proc. 5-th Berkeley Symp. Math. Stat. and Prob.2, 1965, p. 31-42. Zbl0187.40903MR212152
  4. [4] Hida T., Brownian Motion, Springer1980. Zbl0432.60002MR562914
  5. [5] Kallianpur G., Abstract Wiener processes and their reproducing kernel Hilbert spaces. ZW17, 1971, p. 113-123. Zbl0194.49003MR281242
  6. [6] Kuo H.H., Gaussian Measures on Banach Spaces, Lect. Notes in M.463, Springer1975. Zbl0306.28010MR461643
  7. [7] Lindström T.L., A Loeb-measure approach to theorems by Prokhorov, Sazonov and Gross. Trans. Amer. Math. Soc.269, 1982, p. 521-534. Zbl0484.60007MR637706
  8. [8] Vakhania N.N., Tarieladge V.I., Chobanyan S.A., Probability Distributions on Banach Spaces, Reidel Publ. Co, Dordrecht1987. Zbl0698.60003MR1435288

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