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BLASCHKE PRODUCTS AND RATIONAL FUNCTIONS WITH SIEGEL DISKS
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 Title & Authors
BLASCHKE PRODUCTS AND RATIONAL FUNCTIONS WITH SIEGEL DISKS
Katagata, Koh;
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 Abstract
Let m be a positive integer. We show that for any given real number and complex number with which satisfy , there exists a Blaschke product B of degree 2m + 1 which has a fixed point of multiplier at the point at infinity such that the restriction of the Blaschke product B on the unit circle is a critical circle map with rotation number . Moreover if the given real number is irrational of bounded type, then a modified Blaschke product of B is quasiconformally conjugate to some rational function of degree m + 1 which has a fixed point of multiplier at the point at infinity and a Siegel disk whose boundary is a quasicircle containing its critical point.
 Keywords
Blaschke product;Siegel disk;
 Language
English
 Cited by
1.
DYNAMICS OF TRANSCENDENTAL ENTIRE FUNCTIONS WITH SIEGEL DISKS AND ITS APPLICATIONS,;

대한수학회보, 2011. vol.48. 4, pp.713-724 crossref(new window)
1.
DYNAMICS OF TRANSCENDENTAL ENTIRE FUNCTIONS WITH SIEGEL DISKS AND ITS APPLICATIONS, Bulletin of the Korean Mathematical Society, 2011, 48, 4, 713  crossref(new windwow)
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