Quasiperiodic spectra and orthogonality for iterated function system measures
نویسندگان
چکیده
منابع مشابه
Quasiperiodic Spectra and Orthogonality for Iterated Function System Measures
We extend classical basis constructions from Fourier analysis to attractors for affine iterated function systems (IFSs). This is of interest since these attractors have fractal features, e.g., measures with fractal scaling dimension. Moreover, the spectrum is then typically quasi-periodic, but non-periodic, i.e., the spectrum is a “small perturbation” of a lattice. Due to earlier research on IF...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2008
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-008-0329-2