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White noise analysis and its application to Feynman integral

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Measure Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1033))

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References

  1. P. LÉVY: Problèmes concrets d'analyse fonctionnelle. Gauthier-Villars, Paris 1951.

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  2. R. P. FEYNMAN: Space-time Approach to Non-relativistic Quantum Mechanics. Review of Modern Physics, 20 (1948), 367–387.

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  3. T. HIDA: Analysis of Brownian functionals. Carleton Math. Lecture Notes no. 13, 2nd ed. 1978. Carleton Univ. Ottawa; vol. II to appear 1982.

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  4. _____, Brownian Motion. Springer-Verlag, New York 1980, Applications of Math. vol. 11.

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  6. _____, Generalized Brownian Functionals. To appear in Proc. IFIP, 1982, Bangalore.

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  7. I. KUBO and S. TAKENAKA: Calculus on Gaussian White Noise. I, II, Proc. Japan Academy, 56 (1980), 376–380, 411–416.

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  8. L. STREIT and T. HIDA: Generalized Brownian functionals and the Feynman Integrals. To appear in Stochastic Processes and their Applications.

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Author information

Authors and Affiliations

  1. Fakultat für Physik, Universität Bielefeld, D-4800, Bielefeld 1, Germany

    L. Streit

  2. Department of Mathematics, Nagoya University, Chikusaku, 464, Nagoya, Japan

    T. Hida

Authors
  1. L. Streit
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  2. T. Hida
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Editor information

Jean-Marc Belley Jacques Dubois Pedro Morales

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© 1983 Springer-Verlag

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Streit, L., Hida, T. (1983). White noise analysis and its application to Feynman integral. In: Belley, JM., Dubois, J., Morales, P. (eds) Measure Theory and its Applications. Lecture Notes in Mathematics, vol 1033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099857

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  • DOI: https://doi.org/10.1007/BFb0099857

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12703-1

  • Online ISBN: 978-3-540-38690-2

  • eBook Packages: Springer Book Archive

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