Skip to main content

White noise analysis and its application to Feynman integral

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

Keywords

  • Hermite Polynomial
  • Feynman Path Integral
  • White Noise Analysis
  • Smooth Test Function
  • Brownian Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    MATH  Google Scholar 

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

    CrossRef  MathSciNet  Google Scholar 

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

    Google Scholar 

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

    CrossRef  MATH  Google Scholar 

  5. _____, Causal Calculus of Brownian Functionals. Statistics and Related Topics, ed. M. Csörgö et al. North-Holland Pub. Co., 1981, pp. 353–360.

    Google Scholar 

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

    Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12703-1

  • Online ISBN: 978-3-540-38690-2

  • eBook Packages: Springer Book Archive