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The heat equation and fourier transforms of generalized brownian functionals

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Stochastic Partial Differential Equations and Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1236))

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References

  1. Gross, L.: Potential theory on Hilbert space, J. Func. Anal. 1 (1967), 123–181.

    Article  MathSciNet  MATH  Google Scholar 

  2. Hida, T.: Analysis of Brownian functionals, Carleton Math. Lecture Notes, no. 13, Carleton Univ. Ottawa, 1975.

    Google Scholar 

  3. Hida, T.: Generalized multiple Wiener integrals, Proc. Japan Acad. 54A, 1978, 55–58.

    Article  MathSciNet  MATH  Google Scholar 

  4. Hida, T.: Brownian Motion, Applications of Math. vol. 11, Springer-Verlag, Heidelberg, Berlin, New York, 1980.

    Book  MATH  Google Scholar 

  5. Hida, T.: The role of exponential functions in the analysis of generalized Brownian functionals, Teor. Veroyatnost i Primenen, 27 (1982), 569–573.

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  6. Hida, T.: Harmonic analysis of Brownian functionals, Kyoto Univ. Lecture Notes, 1983.

    Google Scholar 

  7. 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.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kuo, H.-H.: Gaussian measures in Banach spaces, Lecture Notes in Math. vol. 463, Springer-Verlag, Heidelberg, Berlin, New York, 1975.

    Book  MATH  Google Scholar 

  9. Kuo, H.-H.: On Fourier transform of generalized Brownian functionals, J. Mult. Anal. 12 (1982), 415–431.

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  10. Kuo, H.-H.: A Fourier transform characterization of Gaussian Brownian functionals, Bulletin Inst. Math. Academia Sinica 11 (1983), 407–413.

    MathSciNet  MATH  Google Scholar 

  11. Kuo, H.-H.: On Laplacian operators of generalized Brownian functionals, Proc. 15th Conf. on Stochastic Processes and their Applications, Nagoya, 1985.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA

    Hui-Hsiung Kuo

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  1. Hui-Hsiung Kuo
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Giuseppe Da Prato Luciano Tubaro

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17211-6

  • Online ISBN: 978-3-540-47408-1

  • eBook Packages: Springer Book Archive

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