Preview
Unable to display preview. Download preview PDF.
References
P. Lévy, Sur la variation de la distribution de l'électricité sur un conducteur dont la surface se déforme. Bull. Soc. math. France, 46 (1918), 35–68.
—, Problèmes concrets d'analyse fonctionnelle. Gauthier-Villars, 1951.
—, Le mouvement bnrownien fonction d'un point de la sphère de Riemann. Rendiconti del Circolo Mat. di Palermo. ser. II 8 (1959) 297–310.
T. Hida, Brownian motion. Iwanami 1975; english ed. Springer-Verlag, 1980.
—, Analysis of Brownian functionals. Carleton Math. Lee. Notes no. 13, 1975.
—, White noise analysis and Gaussian random fields. Proc. 24th Winter School of Theoretical Physics, Karpacz, 1988.
T. Hida, K.-S. Lee and S.-S. Lee, Conformal invariance of white noise. Nagoya Math. J. 98 (1985), 87–98.
T. Hida and Si Si,Variational calculus for Gaussian random fields. Proc. 1988 Warsaw Conference.
K.-S. Lee, White noise approach to Gaussian random fields. (to appear).
Si Si, A note on Lévy's Brownian motion. Nagoya Math. J. 108 (1887), 121–130.
—, A note on Lévy's Brownian motion, II. Nagoya Math. J. 114 (1989), 165–172.
—, Gaussian processes and conditional expectations. BiBoS Notes Nr. 292/87.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Hida, T. (1990). White Noise and Stochastic Variational Calculus for Gaussian Random Fields. In: Lima, R., Streit, L., Vilela Mendes, R. (eds) Dynamics and Stochastic Processes Theory and Applications. Lecture Notes in Physics, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52347-2_28
Download citation
DOI: https://doi.org/10.1007/3-540-52347-2_28
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52347-5
Online ISBN: 978-3-540-46969-8
eBook Packages: Springer Book Archive