Skip to main content
SpringerLink
Log in
Book cover

Vector Space Measures and Applications II pp 114–123Cite as

Random linear functionals and why we study them

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 645))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Borell, Random linear functionals and subspaces of probability one, Arkiv for Matematik 14 (1976), 79–92.

    Article  MathSciNet  MATH  Google Scholar 

  2. R.M. Dudley and M. Kanter, Zero-one laws for stable measures, Proc. Amer. Math. Soc. 45 (1974), 35–47.

    Article  MathSciNet  MATH  Google Scholar 

  3. X. Fernique, Integrability des vecteurs Gaussiens. C.R. Acad. Sci. Paris Ser. A 270 (1970), 1698–1699.

    MathSciNet  MATH  Google Scholar 

  4. C. Goffman and D. Waterman, Some Aspects of Fourier Series, Am. Math. Monthly 77 (1970), 119–133.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. Kanter, Completion measurable linear functionals on a probability space, to appear in Colloq. Math.

    Google Scholar 

  6. M. Kanter, On distinguishing translates of measures, Ann. Math. Stat. 49 (1969), 1773–1777.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. Kanter, Correction to "On Distinguishing Translates of Measures", Ann. of Probability 3 (1975), 189–190.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Kanter, Linear sample spaces and stable processes, Journal of Functional Analysis 9 (1972), 472–474.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Kanter, On the spectral representation for symmetric stable random variables Z. Wahrscheinlichkeitsth. Verw. Geb. 23 (1972), 1–6.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Kanter, On the boundedness of stable processes, Transactions of the Seventh Prague Conference on Information Theory (1974).

    Google Scholar 

  11. M. Kanter, Lower bounds for non-linear prediction error in moving average processes, submitted.

    Google Scholar 

  12. P. Levy, Functions aleatoires à correlation lineaire, Illinois Journal of Mathematics 1 (1957), 217–258.

    MathSciNet  MATH  Google Scholar 

  13. M. Loeve, Probability Theory 3d ed. Van Nostrand, Princeton, N.J. (1963).

    MATH  Google Scholar 

  14. D. Shale and W.F. Stinespring, Wiener processes II, Journal of Functional Analysis 5 (1970), 375–400.

    Article  MathSciNet  MATH  Google Scholar 

  15. A.V. Skorokhod, Integration in Hilbert Space, Springer-Verlag, Berlin (1974).

    Book  MATH  Google Scholar 

  16. A.V. Skorokhod, On the density of probability measures in functional spaces, Proc. 5th Berk. Symp. Math. Stat. Prob. Vol. 2 (1967), 163–182.

    Google Scholar 

  17. A.V. Skorokhod, On admissible translates of measures in Hilbert spaces, Theory of Probability and Applications 15 (1970), 557–580.

    Article  MATH  Google Scholar 

  18. M.A. Tortrat, Pseudo martingales et lois stables, C.R. Acad. Sc. Paris. Ser.A. 281 (1975), 463–465.

    MathSciNet  MATH  Google Scholar 

  19. K. Urbanik, Random linear functionals and random integrals, Collog. Math. 23 (1975), 255–262.

    MathSciNet  MATH  Google Scholar 

  20. K. Urbanik and W.A. Woycynski, A random integral and Orlicz spaces, Bulletin de l’ Academic Polonaise des Sciences Mathematiques, Astronomiques, et Physiques 15, (1967), 161–169.

    MathSciNet  Google Scholar 

  21. A.M. Vershik, Axiomatics of the theory of measure in linear spaces, Dokl. Akad. Nauk SSR 178 (2) (1968), 278–281.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sir George Williams Campus, Concordia University, Montreal, Canada

    Marek Kanter

Authors
  1. Marek Kanter
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Richard M. Aron Seán Dineen

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Kanter, M. (1978). Random linear functionals and why we study them. In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications II. Lecture Notes in Mathematics, vol 645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069668

Download citation

  • DOI: https://doi.org/10.1007/BFb0069668

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08669-7

  • Online ISBN: 978-3-540-35903-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation