Skip to main content

Extensions of the Slepian lemma to p-stable measures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1080)

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. de Acosta, A., Asymptotic behavior of stable measures. Ann.Probability 5 (1977), 494–499.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Araujo, A.,Giné, E., On tails and domains of attraction of stable measures in Banach spaces. Trans.Amer.Math.Soc. 248 (1979), 105–119.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Badrikian, A.,Chevet, S., Measures cylindriques, espaces de Wiener et fonctions aleatoires Gaussiennes. Lecture Notes in Mathematics 379, Springer Verlag, Berlin-Heidelberg-New York 1974.

    CrossRef  MATH  Google Scholar 

  4. Ehrhard, A.,Fernique, X., Fonctions aleatoires stable irregulieres. C.R.Acad.Sci.Paris, Ser.I 292 (1981), 999–1001.

    MathSciNet  MATH  Google Scholar 

  5. Haagerup, U., Les meilleures constantes de l’inegalite de Khintchine. C.R.Acad.Sci.Paris, Ser.A 286 (1978), 259–262.

    MathSciNet  MATH  Google Scholar 

  6. Linde, W., Operators generating stable measures on Banach spaces. Z.Wahrscheinlichkeitstheorie verw. Geb. 60 (1982), 171–184.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Linde, W., Infinitely divisible and stable measures on Banach spaces. Teubner Verlag, Leipzig 1983.

    MATH  Google Scholar 

  8. Linde,W.,Mathé,P., Inequalities between integrals of p-stable symmetric measures on Banach spaces. To appear Probab.Math.Statist. 1983.

    Google Scholar 

  9. Lindenstrauss, J.,Pełczynski, A., Absolutely summing operators in Lp-spaces and their applications. Stud. Math. 29 (1968), 275–326.

    MATH  Google Scholar 

  10. Marcus,M.B.,Pisier,G., Characterisations of almost surely continuous p-stable random Fourier series and strongly stationary processes. To appear.

    Google Scholar 

  11. Maurey, B., Un theoreme de prolongement. C.R.Acad.Sci. Paris Ser.A 279 (1974), 329–332.

    MathSciNet  MATH  Google Scholar 

  12. Pietsch, A., Operator ideals. Akademie Verlag, Berlin 1978.

    MATH  Google Scholar 

  13. Slepian, D., The one-sided barrier problem for Gaussian noise. Bell System Tech. J. 41 (1962), 463–501.

    CrossRef  MathSciNet  Google Scholar 

  14. Sobolev, S.L., Einige Anwendungen der Funktionalanalysis auf Gleichungen der mathematischen Physik. Akademie Verlag, Berlin 1964.

    Google Scholar 

  15. Tien, Z.T.,Weron, A., Banach spaces related to α-stable measures. Lecture Notes in Mathematics 828, 309–317. Springer Verlag, Berlin-Heidelberg-New York 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Linde, W. (1984). Extensions of the Slepian lemma to p-stable measures. In: Szynal, D., Weron, A. (eds) Probability Theory on Vector Spaces III. Lecture Notes in Mathematics, vol 1080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099793

Download citation

  • DOI: https://doi.org/10.1007/BFb0099793

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13388-9

  • Online ISBN: 978-3-540-38939-2

  • eBook Packages: Springer Book Archive