Wiener measures on certain Banach spaces over non-archimedean local fields

Takakazu Satoh

Compositio Mathematica (1994)

  • Volume: 93, Issue: 1, page 81-108
  • ISSN: 0010-437X

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Satoh, Takakazu. "Wiener measures on certain Banach spaces over non-archimedean local fields." Compositio Mathematica 93.1 (1994): 81-108. <http://eudml.org/doc/90315>.

@article{Satoh1994,
author = {Satoh, Takakazu},
journal = {Compositio Mathematica},
keywords = {non-Archimedean abstract Wiener measure; Banach spaces over non- Archimedean valuation field; cylinder measure},
language = {eng},
number = {1},
pages = {81-108},
publisher = {Kluwer Academic Publishers},
title = {Wiener measures on certain Banach spaces over non-archimedean local fields},
url = {http://eudml.org/doc/90315},
volume = {93},
year = {1994},
}

TY - JOUR
AU - Satoh, Takakazu
TI - Wiener measures on certain Banach spaces over non-archimedean local fields
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 1
SP - 81
EP - 108
LA - eng
KW - non-Archimedean abstract Wiener measure; Banach spaces over non- Archimedean valuation field; cylinder measure
UR - http://eudml.org/doc/90315
ER -

References

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  1. 1 Albeverio, S. and Karwowski, W., Diffusion on p-adic numbers, in Gaussian random fields (ed. K. Ito and T. Hida), World Scientific (1991), 86-99. Zbl0826.46069MR1163602
  2. 2 Bosch, S., Güntzer, U. and Remmert, R., Grundlehren der mathematischen Wissenschaften, Vol. 261, Non-Archimedean Analysis, Springer, (1984). Zbl0539.14017MR746961
  3. 3 Evans, S.N., Continuity properties of Gaussian stochastic processes indexed by a local field, Proc. London Math. Soc.56, (1988), 380-416. Zbl0608.60035MR922661
  4. 4 Evans, S.N., Sample path properties of Gaussian stochastic processes indexed by a local field, Proc. London Math. Soc., 56, (1988), 580-624. Zbl0608.60036MR931515
  5. 5 Gross, L., Abstract Wiener spaces, in Proc. fifth Berkeley sympos. math. Statist. and probability (Berkeley, Calif., 1965/1966), Vol. 2, 31-42 (1967). Zbl0187.40903MR212152
  6. 6 Kuo, H.H., Lecture Notes in Math., Vol. 463, Gaussian Measures in Banach Spaces, Springer, (1975). Zbl0306.28010
  7. 7 Parthasarathy, K.R., Probability measures on metric spaces, Academic Press, (1967). Zbl0153.19101MR226684
  8. 8 Rao, M.M., Measure theory and integration, Wiley, (1987). Zbl0619.28001MR891879
  9. 9 Satoh, T., On the Wiener measure over local fields, Koukyuuroku of RIMS, 792, 39-63 (1992). 
  10. 10 Wiener, N., The average value of a functional, Proc. London Math. Soc.22, 454-467, (1922). Zbl50.0290.01JFM50.0290.01

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