Skip to main content

Examples of non-stationary banach space valued stochastic processes of second order

  • Conference paper
  • First Online:
Probability Theory on Vector Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 656))

  • 356 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. S.A. Chobanyan, A. Weron, Banach space valued stationary processes and their linear prediction, Dissertationes Math. 125(1975), 1–45.

    MathSciNet  MATH  Google Scholar 

  2. R.K. Getoor, The shift operator for non-stationary stochastic processes, Duke Math. J. 23(1956), 175–187.

    Article  MathSciNet  MATH  Google Scholar 

  3. H. Hamburger, Über eine Erweterung das Stieltjessehen Momenten-problems, Math.Annalen 81 (1920), 235–319, ibidem 82 (1921), 120–187.

    Article  MathSciNet  Google Scholar 

  4. K. Ito, M. Nisio, On the convergence of sums of independent Banach space valued random variables, Osaka J.Math. 5 (1968), 35–48.

    MathSciNet  MATH  Google Scholar 

  5. Nguyen Van Thu, On additively correlated random variables, Bull.Acad.Polon. 23 (1975), 781–785.

    MathSciNet  MATH  Google Scholar 

  6. Nguyen Van Thu, Gaussian Markov processes on partially ordered sets, Comm.Math. (to appear).

    Google Scholar 

  7. A.E. Nussbaum, Integral representation of semigroups of unbounded self-adjoint operators, Annales of Math. 69 (1959), 133–141.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. Weron, Prediction theory in Banach spaces, Lecture Notes in Math. vol.472 (1975), 207–228.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Weron

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Van Thu, N., Weron, A. (1978). Examples of non-stationary banach space valued stochastic processes of second order. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068818

Download citation

  • DOI: https://doi.org/10.1007/BFb0068818

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics