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The singular points of self-similar functions with zero spectral degree. Stieltjes self-similar string

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arxiv 0711.0451 v3 pith:SR4BFUJF submitted 2007-11-03 math.FA

classification math.FA
keywords functionspointsself-similarspectraldegreesingularstieltjesstring
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The self-similar functions of zero spectral degree are defined. The singular points of these functions are investigated and full classification of points is given. The connection with spectral problems (Stieltjes string) is pointed out.

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