Skip to main content
SpringerLink
Log in
Book cover

Spectral Theory of Dynamical Systems pp 49–56Cite as

Probability Measures on the Circle Group

  • Chapter

  • 136 Accesses

Part of the book series: Texts and Readings in Mathematics ((TRM))

Abstract

In this chapter we will study certain aspects of finite measures on the circle group which can be applied to the spectral theory of non-singular automorphisms.

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   40.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. J. Aaronson. The Eigenvalues of Non-Singular Transformations. Israel J. Math. 45 (1983), 297–312.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. R. Choksi and M. G. Nadkarni. Baire Category in Spaces of Measures, Unitary Operators, and Transformations. Proc. Int. Conference on Invariant Subspaces and Allied Topics, (1986). Edited by H. Helson and B. S. Yadav, Narosa Publishers, New Delhi.

    Google Scholar 

  3. H. Furstenberg and B. Weiss. The Finite Multipliers of Infinite Ergodic Transformations. Structures and Attractors in Dynamical Systems, Lecture Notes in Mathematics, 768 (1978), 128–132, Springer-Verlag, Berlin-Heidelburg-New York.

    Google Scholar 

  4. J.-P. Kahane and R. Salem. Ensembles Parfaits et Series Trignometriques. Hermann, Paris, 1963.

    MATH  Google Scholar 

  5. K. Schmidt. Spectra of Ergodic Group Actions. Israel J. Math. 41 (1982), 151–153.

    Article  MathSciNet  MATH  Google Scholar 

  6. K. Schmidt and P. Walters. Mildly Mixing Actions of Locally Compact Groups. Proc. London Math. Soc. (3)45 (1982), 506–508.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Weyl. Ober die Gleichverteilung von Zahlen modulo Eins. Selecta, Hermann Weyl, Birkhauser, Basel, 1956.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Mumbai, Mumbai, India

    M. G. Nadkarni

Authors
  1. M. G. Nadkarni
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Hindustan Book Agency

About this chapter

Cite this chapter

Nadkarni, M.G. (1998). Probability Measures on the Circle Group. In: Spectral Theory of Dynamical Systems. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-80250-93-9_7

Download citation

Publish with us

Policies and ethics

Search

Navigation