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References
Gross, L. (1967), "Potential theory on Hilbert space", J. Func. Anal. 1, 123–181.
Hida, T. (1978), "Generalized multiple Wiener integrals", Proc. Japan Acad. 54A, 55–58.
Hida, T. (1980), Brownian Motion, Applications of Math. vol. 11, Springer-Verlag.
Hida, T. (1985), "Brownian motion and its functionals", Ricerche di Matematica 34, 183–222.
Kubo, I. and Takenaka, S. (1980), "Calculus on Gaussian white noise II", Proc. Japan Acad. 56A, 411–416.
Kubo, I. and Yokoi, Y. (1987), "A remark on δ-functional in the white noise calculus", preprint.
Kuo, H.-H. (1982), "On Fourier transform of generalized Brownian functionals", J. Multivariate Analysis 12, 415–431.
Kuo, H.-H. (1983), "A Fourier transform characterization of Gaussian Brownian functionals", Bulletin Inst. Math. Academia Sinica 11, 407–413.
Kuo, H.-H. (1983), "Brownian functionals and applications", Acta Applicandae Mathematicae 1, 175–188.
Kuo, H.-H. (1987), "The heat equation and the Fourier transform of generalized Brownian functionals", Lecture Notes in Math. 1236, 154–163, Springer-Verlag.
Kuo, H.-H. (1987), "Brownian motion, diffusions and infinite dimensional calculus", to appear in Lecture Notes in Math, Springer-Verlag.
Lévy, P. (1971), "Fonctions de lignes et équations aux dérivées fonctionnelles", Texte proposé pour le XIIIe Congrès international d'historie des Sciences, 343–357.
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© 1989 Springer-Verlag
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Kuo, HH. (1989). Stochastic partial differential equations of generalized Brownian functionals. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications II. Lecture Notes in Mathematics, vol 1390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083942
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DOI: https://doi.org/10.1007/BFb0083942
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