Skip to main content
SpringerLink
Log in

On the distribution of polynomials on high dimensional convex sets

  • Conference paper
  • First Online:
Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1469))

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

Access this chapter

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.95
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. J. Bourgain, On high dimensional maximal functions associated to convex bodies, Amer. J. Math 108 (1986), 1467–1476.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Bourgain, J. Lindenstrauss, Projection bodies, Springer LNM 1317.

    Google Scholar 

  3. J. Bourgain, M. Meyer, V. Milman, A. Pajor, On a geometric inequality, Springer LNM 1317, 271–282.

    Google Scholar 

  4. X. Fernique, Régularité des trajectoires des fonctions aléatoires Gaussiennes, Springer LNM 480 (1975), 1–96.

    MathSciNet  MATH  Google Scholar 

  5. M. Gromov, V. Milman, Brunn theorem and a concentration of volume of convex bodies, GAFA Seminar Notes, Tel Aviv University, Israel 1983–84.

    Google Scholar 

  6. H. Knothe, Contributions to the theory of convex bodies, Michigan Math. J. 4 (1957), 39–52.

    Article  MathSciNet  MATH  Google Scholar 

  7. V. Milman, A. Pajor, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space, Springer LNM 1376, 64–104.

    Google Scholar 

  8. V. Milman, G. Schechtman, Asymptotic theory of finite dimensional normed spaces, Springer LNM 1200.

    Google Scholar 

  9. G. Pisier, The Volume of Convex Bodies and Banach Space Geometry, Cambridge UP, 1989.

    Google Scholar 

  10. G. Pisier, Private communication.

    Google Scholar 

  11. C. Preston, Banach spaces arising from some integral inequalities', Indiana U. Math. J. 20 (1971), 997–1015.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. Talagrand, Regularity of Gaussian processes, Acta Math. 159 (1987), 99–149.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. IHES, France

    J. Bourgain

  2. University of Illinois, USA

    J. Bourgain

Authors
  1. J. Bourgain
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Joram Lindenstrauss Vitali D. Milman

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Bourgain, J. (1991). On the distribution of polynomials on high dimensional convex sets. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089219

Download citation

  • DOI: https://doi.org/10.1007/BFb0089219

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54024-3

  • Online ISBN: 978-3-540-47355-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation