Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Orthogonal polynomials associated with invariant measures on Julia sets


Authors: M. F. Barnsley, J. S. Geronimo and A. N. Harrington
Journal: Bull. Amer. Math. Soc. 7 (1982), 381-384
MSC (1980): Primary 42A52
DOI: https://doi.org/10.1090/S0273-0979-1982-15043-1
MathSciNet review: 663789
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. M. F. Barnsley, J. S. Geronimo and A. N. Harrington, On the invariant sets of a family of quadratic maps, Comm. Math. Phys. (submitted). MR 702565
  • 2. M. F. Barnsley, J. S. Geronimo and A. N. Harrington (in preparation)
  • 3. D. Bessis, M. L. Mehta, and P. Moussa, Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings, Letters in Math. Phys. (submitted).
  • 4. H. Brolin, Invariant sets under iteration of rational functions, Ark. Mat. 6 (1965), 103-144. MR 194595
  • 5. P. Fatou, Sur les équations fonetionelles, Bull. Soc. Math. France 47 (1919), 161-271. MR 1504787
  • 6. H. Brolin, Sur les équations fonctionelles, Bull. Soc. Math. France 48 (1920), 33-94; 208-314.
  • 7. L. Gaal, Classical Galois theory with examples, Markham, Chicago, 1971. MR 280465
  • 8. G. Julia, Mémoire sur L'iteration des fonctions rationelles, J. Math. Pures Appl. Ser. 8 1 (1918), 47-245.
  • 9. V. J. Smirnoff, Sur les formules de Cauchy et de Green quelques problemes qui s'y rattachent, Bull. Acad. Sci. URSS (1932), 337-372.
  • 10. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc. Providence, RI, 1939. MR 310533

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1980): 42A52

Retrieve articles in all journals with MSC (1980): 42A52


Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1982-15043-1

American Mathematical Society