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Orthogonal polynomials associated with invariant measures on Julia sets
Author(s):
M. F.
Barnsley;
J. S.
Geronimo;
A. N.
Harrington
Journal:
Bull. Amer. Math. Soc.
7
(1982),
381-384.
MSC (1980):
Primary 42A52
MathSciNet review:
663789
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References:
- 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
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15043-1
PII:
S 0273-0979(1982)15043-1
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