Skip to main content

An outline of the theory of stationary measures over ℝq

  • Vector Valued And Group Valued Measures
  • Conference paper
  • First Online:
  • 646 Accesses

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 794))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.L. Butzer and H. Behrens, Semi-groups of operators and approximation, Springer Verlag, Berlin, 1967.

    Book  Google Scholar 

  2. M.M. Day, Normed linear spaces, Springer Verlag, Berlin, 1973.

    Book  MATH  Google Scholar 

  3. N. Dinculeanu, Vector measures, Pergamon Press, Oxford, 1967.

    Book  MATH  Google Scholar 

  4. J.L. Doob, Stochastic processes, Wiley, New York, 1953.

    MATH  Google Scholar 

  5. N. Dunford & J. Schwartz, Linear operators, I, Interscience, New York, 1958; 1963.

    MATH  Google Scholar 

  6. E. Hille and R.S. Phillips, Functional analysis and semi-groups, Amer.Math.Soc., Providence, R.I., 1957.

    MATH  Google Scholar 

  7. K.S. Lau & J.K. Lee, On generalized harmonic analysis, Trans.Amer.Math.Soc. (to appear).

    Google Scholar 

  8. P. Masani, Orthogonally scattered measures, Adv. in Math. 2 (1968), 61–117.

    Article  MathSciNet  MATH  Google Scholar 

  9. P. Masani, Explicit form for the Fourier-Plancherel transform over locally compact abelian groups, 162–182, in "Abstract Spaces and Approxmation" edited by P.L. Butzer and B.Sz. Nagy, Birkhäuser, Basel, 1969.

    Google Scholar 

  10. P. Masani, Quasi-isoometric measures and their applications, Bull.Amer.Math.Soc. 76 (1970), 427–528.

    Article  MathSciNet  MATH  Google Scholar 

  11. P. Masani, On helices in Hilbert space I, Theory of Probability & Appl. (USSR) 17 (1972), 3–20. (English Ed. SIAM 17 (1972), 1–19).

    MathSciNet  Google Scholar 

  12. P. Masani, On infinitely decomposable probability distributions and helical varieties in Hilbert space, 209–223 in "Multivariate Analysis", edited by P.R. Krishnaiah, Acad. Press, New York, 1973.

    Google Scholar 

  13. P. Masani, On helices in Banach spaces, Sankhya 38 (1976), 1–27.

    MathSciNet  MATH  Google Scholar 

  14. P. Masani, Dilations as propagators of Hilbertian varieties, SIAM J. Analysis 9 (1978), 414–456.

    Article  MathSciNet  MATH  Google Scholar 

  15. P. Masani, Commentary on the memoire [30a] on generalized harmonic analysis in Norbert Wiener Collected Works, II (ed. by P. Masani) MIT Press, Cambridge, Mass., 1979.

    Google Scholar 

  16. R. Nelson, The spaces of functions of finite upper p-variation, Trans.Amer.Math.Soc. 253 (1979), 171–190.

    MathSciNet  MATH  Google Scholar 

  17. N. Wiener, Generalized harmonic analysis, Acta Math. 55 (1930), 117–258.

    Article  MathSciNet  MATH  Google Scholar 

  18. N. Wiener, The homogeneous chaos, Amer.J.Math. 60 (1938), 897–936.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Dietrich Kölzow

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Masani, P. (1980). An outline of the theory of stationary measures over ℝq . In: Kölzow, D. (eds) Measure Theory Oberwolfach 1979. Lecture Notes in Mathematics, vol 794. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088231

Download citation

  • DOI: https://doi.org/10.1007/BFb0088231

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09979-6

  • Online ISBN: 978-3-540-39221-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics