Skip to main content

On almost i.i.d. subsequences of the trigonometric system

  • Conference paper
  • First Online:
Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1332))

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. I. Berkes. A central limit theorem for trigonometric series with small gaps, Zeitschrift für Wahrscheinlichkeitstheorie verw. Gebiete, 47 (1979), 157–161.

    Article  MATH  MathSciNet  Google Scholar 

  2. I. Berkes and W. Philipp. Approximation theorems for independent and weakly dependent random vectors, Annals of Probability, 7 (1979), 29–54.

    Article  MATH  MathSciNet  Google Scholar 

  3. I. Berkes and H.P. Rosenthal. Almost exchangeable sequences of random variables, Zeitschrift für Wahrscheinlichkeitstheorie verw. Gebiete, 70 (1985), 473–507.

    Article  MATH  MathSciNet  Google Scholar 

  4. I. Berkes and E. Péter, Exchangeable random variables and the subsequence principle, Prob. Theory Rel. Fields, 73 (1986), 395–413.

    Article  MATH  Google Scholar 

  5. P. Erdös and A. Rényi. Some further statistical properties of the digits in Cantor's series, Acta Math. Acad. Sci. Hung., 10 (1959), 21–29.

    Article  MATH  Google Scholar 

  6. V. Gaposhkin, On some systems of almost independent functions, Siberian Math. Journ., 9 (1968), 198–210.

    Article  MATH  Google Scholar 

  7. J. Hawkes. Probabilistic behaviour of some lacunary series, Zeitschrift für Wahrscheinlichkeitstheorie verw. Gebiete, 53 (1980), 21–33.

    Article  MATH  MathSciNet  Google Scholar 

  8. R. Salem and A. Zygmund. On lacunary trigonometric series, Proc. Nat. Acad. Sci. USA, 33 (1947), 333–338.

    Article  MATH  MathSciNet  Google Scholar 

  9. V. Strassen. The existence of probability measures with given marginals, Annals of Math. Statist., 36 (1965), 423–439.

    Article  MATH  MathSciNet  Google Scholar 

  10. M. Weiss. The law of the iterated logarithm for lacunary trigonometric series, Trans. Amer. Math. Soc., 91 (1959), 444–469.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Berkes, I. (1988). On almost i.i.d. subsequences of the trigonometric system. In: Odell, E.W., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081611

Download citation

  • DOI: https://doi.org/10.1007/BFb0081611

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50018-6

  • Online ISBN: 978-3-540-45892-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics