This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
I. M. Gel’fand and N. Ya. Vilenkin, Generalized functions, vol. 4, Applications of harmonic analysis, Academic Press (1964).
L. Gross, Abstract Wiener spaces, Proc. 5th Berkeley Sym. Math. Stat. Prob. 2 (1965), 31–42.
T. Hida, Quadratic functionals of Brownian motion, J. Multivariate Analysis 1 (1971), 58–69.
T. Hida, Analysis of Brownian functionals, Carleton Math. Lecture Notes, no. 13, Carleton Univ. Ottawa (1975).
T. Hida, Analysis of Brownian functionals, Mathematical Programming Study 5 (1976), 53–59.
T. Hida, White noise and Lévy’s functional analysis, Proc. Measure Theory, Oberwolfach (1977), Lecture Notes in Math. vol. 695 (1978), 155–163, Springer-Verlag.
T. Hida, Generalized multiple Wiener integrals, Proc. Japan Academy 54 (1978), 55–58.
T. Hida, Causal analysis in terms of white noise, (preprint 1979).
T. Hida and L. Streit, On quantum theory in terms of white noise, Nagoya Math. J. 68 (1977), 21–34.
K. Ito, Stochastic analysis in infinite dimensions, Proc. International Conference on Stochastic Analysis, Evanston, Academic Press (1978), 187–197.
H.-H. Kuo, Integration by parts for abstract Wiener measures, Duke Math. J. 41 (1974), 373–379.
H.-H. Kuo, Gaussian measures in Banach spaces, Lecture Notes in Math. vol. 463 (1975), Springer-Verlag.
H.-H. Kuo, Differential calculus for measures on Banach spaces, Proc. Vector Space Measures and Appl, I, Lecture Notes in Math. vol. 644 (1978), 270–285, Springer-Verlag.
Y. J. Lee, Applications of the Fourier-Wiener transform to differential equations on infinite dimensional spaces I, Trans. Amer. Math. Soc. (to appear).
M. Ann Piech, The Ornstein-Uhlenbeck semigroup in an infinite dimensional L2 setting, J. Functional Analysis 18 (1975), 271–285.
M. Ann Piech, Support properties of Gaussian Processes over Schwartz space, Proc. Amer. Math. Soc. 53 (1975), 460–462.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Kuo, HH. (1980). Fourier-wiener transform on brownian functionals. In: Weron, A. (eds) Probability Theory on Vector Spaces II. Lecture Notes in Mathematics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097400
Download citation
DOI: https://doi.org/10.1007/BFb0097400
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10253-3
Online ISBN: 978-3-540-38350-5
eBook Packages: Springer Book Archive