Constructing entire functions by quasiconformal folding
نویسندگان
چکیده
منابع مشابه
Constructing Entire Functions by Quasiconformal Folding
We give a method for constructing transcendental entire functions with good control of both the singular values of f and the geometry of the level-set {|f | > R}. The method consists of first building a quasiregular map by “gluing together” copies of the right half-plane that have each been quasiconformally “folded” into themselves. The measurable Riemann mapping theorem is then invoked to prod...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 2015
ISSN: 0001-5962
DOI: 10.1007/s11511-015-0122-0