Spectrality of digit sets and spectral self-affine measures
نویسندگان
چکیده
منابع مشابه
A Class of Self-affine and Self-affine Measures
Let I = {φj}j=1 be an iterated function system (IFS) consisting of a family of contractive affine maps on Rd. Hutchinson [8] proved that there exists a unique compact set K = K(I), called the attractor of the IFS I, such that K = ⋃m j=1 φj(K). Moreover, for any given probability vector p = (p1, . . . , pm), i.e. pj > 0 for all j and ∑m j=1 pj = 1, there exists a unique compactly supported proba...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2017
ISSN: 1674-7216
DOI: 10.1360/scm-2016-0720