Skip to main content

Application of rational approximations to some functional equations

  • Problem Related To Physics
  • Conference paper
  • First Online:
Rational Approximation and its Applications in Mathematics and Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1237))

  • 413 Accesses

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. For a review including classical references see: P. Blanchard, Complex analytical dynamics on the Riemann sphere, Bull. Amer. Math. Soc. 11 (1984) 85–141

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Barnsley, J. Geronimo, A. Harrington, On the invariant sets of a family of quadratic maps, Commun. Math. Phys., 88 (1983) 479–501

    Article  MathSciNet  MATH  Google Scholar 

  3. D. Bessis, P. Moussa, Orthogonality properties of iterated polynomial mappings, Commun. Math. Phys. 88 (1983) 503–529

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Barnsley, J. Geronimo, A. Harrington, Bull. Amer. Math. Soc., 7 (1982) 381–384.

    Article  MathSciNet  Google Scholar 

  5. J. Bellissard, D. Bessis, P. Moussa, Chaotic states of almost periodic Schrödinger operators. Phys. Rev. Lett. 49 (1982) 701–704.

    Article  MathSciNet  Google Scholar 

  6. P. Moussa, D. Bessis, A solvable almost periodic Schrödinger operator, Stochastic aspects of Classical and Quantum systems, 136–147, Lectures Notes in Math., 1109 Springer 1985.

    Google Scholar 

  7. B. Derrida, J.P. Eckmann, A. Erzan, Renormalisation groups with periodic and aperiodic orbits, J. Phys. A: Math. Gen. 16 (1983) 893–906

    Article  MathSciNet  Google Scholar 

  8. Th. Niemeijer, J.M. Van Leeuwen, Renormalisation theory for Ising like spin systems, Phase transition and Critical Phenomena, Vol. 6, 425–505, C. Domb and M.S. Green editors, Academic Press, N.Y. 1976.

    Google Scholar 

  9. D. Bessis, J. Geronimo, P. Moussa, Mellin transforms associated with Julia sets and physical applications. J. Stat. Phys., 34 (1984) 75–110.

    Article  MathSciNet  MATH  Google Scholar 

  10. R. Rammal, Spectrum of harmonic excitations on fractals, J. Physique 45 (1984) 191–206.

    Article  MathSciNet  Google Scholar 

  11. D. Bessis, M.L. Mehta, P. Moussa, Orthogonal polynomials on a family of Cantor sets, and the problem of iteration of quadratic mappings, Letter Math. Phys. 6 (1982) 123–140

    Article  MathSciNet  MATH  Google Scholar 

  12. G. Baker, D. Bessis, P. Moussa, A family of almost periodic Schrödinger operators, Physica, 124A (1984) 61–78

    Article  MathSciNet  MATH  Google Scholar 

  13. H. Brolin, Invariant sets under iteration of rational functions, Ark. Mat. 6 (1965) 103–144

    Article  MathSciNet  MATH  Google Scholar 

  14. See for instance, W. Rudin, Real and complex analysis, p. 386, Mc Graw Hill 1970

    Google Scholar 

  15. D. Bessis, J. Geronimo, P. Moussa. Function weighted measure and orthogonal polynomials on Julia sets (preprint)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jacek Gilewicz Maciej Pindor Wojciech Siemaszko

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Moussa, P. (1987). Application of rational approximations to some functional equations. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072472

Download citation

  • DOI: https://doi.org/10.1007/BFb0072472

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics