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References
Gross, L.: Potential theory on Hilbert space, J. Func. Anal. 1 (1967), 123–181.
Hida, T.: Analysis of Brownian functionals, Carleton Math. Lecture Notes, no. 13, Carleton Univ. Ottawa, 1975.
Hida, T.: Generalized multiple Wiener integrals, Proc. Japan Acad. 54A, 1978, 55–58.
Hida, T.: Brownian Motion, Applications of Math. vol. 11, Springer-Verlag, Heidelberg, Berlin, New York, 1980.
Hida, T.: The role of exponential functions in the analysis of generalized Brownian functionals, Teor. Veroyatnost i Primenen, 27 (1982), 569–573.
Hida, T.: Harmonic analysis of Brownian functionals, Kyoto Univ. Lecture Notes, 1983.
Kubo, I. and Takenaka, S.: Calculus on Gaussian white noise, I: Proc. Japan Academy 56A (1980), 376–380, II: ibid. 56A (1980), 411–416, III: ibid. 57A (1981), 433–437, IV: ibid. 58A (1982), 186–189.
Kuo, H.-H.: Gaussian measures in Banach spaces, Lecture Notes in Math. vol. 463, Springer-Verlag, Heidelberg, Berlin, New York, 1975.
Kuo, H.-H.: On Fourier transform of generalized Brownian functionals, J. Mult. Anal. 12 (1982), 415–431.
Kuo, H.-H.: A Fourier transform characterization of Gaussian Brownian functionals, Bulletin Inst. Math. Academia Sinica 11 (1983), 407–413.
Kuo, H.-H.: On Laplacian operators of generalized Brownian functionals, Proc. 15th Conf. on Stochastic Processes and their Applications, Nagoya, 1985.
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© 1987 Springer-Verlag
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Kuo, HH. (1987). The heat equation and fourier transforms of generalized brownian functionals. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications. Lecture Notes in Mathematics, vol 1236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072887
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DOI: https://doi.org/10.1007/BFb0072887
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