Skip to main content

Central limit problem on Lp (p≥2) I. Lévy-Khinchine representation

  • Conference paper
  • First Online:
Probability in Banach Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 526))

  • 857 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Badrikian, A. Séminaire sur les fonctions aléatoires linéares et les measures cylindriques Lecture Notes 139, Springer-Verlag 1970.

    Google Scholar 

  2. Dudley, R.M. Radom linear functionals. Trans. Amer. Math. Soc. 136 (1969) 1–24.

    Article  MathSciNet  MATH  Google Scholar 

  3. Fortet, M.R. and Morier, E. Resultals complémentaires sur e'léments alêatoires prennant leurs valeurs dans une espace de Banach. Bull. Sci. Math. 78 (1965) 14–30.

    Google Scholar 

  4. Kuelbs, J. and Mandrekar, V. Harmonic analysis on F-spaces with a basis. Trans. Amer. Math. Soc. 169 (1972) 113–152.

    MathSciNet  MATH  Google Scholar 

  5. Mandrekar, V. On Bochner and Lévy theorems on Orlicz spaces. Symposia Mathematica, Academic Press, New York (to appear).

    Google Scholar 

  6. Mandrekar, V. Gaussian processes and their Markov property. Lecture Notes, EPF-Lausanne.

    Google Scholar 

  7. Parthasarathy K.R. Probability measures on metric spaces. Academic Press 1967.

    Google Scholar 

  8. Rajput, B. Gaussian measures on Lp spaces (1≤p<∞). J. Multivariate Analysis 2 (1972) 382–403.

    Article  MathSciNet  MATH  Google Scholar 

  9. Varadhan, S.R.S. Limit theorems for sums of independent random variables with values in a Hilbert space. Sankhyā Ser. A. 24 (1962) 213–238.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Anatole Beck

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Mandrekar, V. (1976). Central limit problem on Lp (p≥2) I. Lévy-Khinchine representation. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082351

Download citation

  • DOI: https://doi.org/10.1007/BFb0082351

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07793-0

  • Online ISBN: 978-3-540-38256-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics