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Fractal Spectral Measures In Two Dimensions, Beng Oscar Alrud
Fractal Spectral Measures In Two Dimensions, Beng Oscar Alrud
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We study spectral properties for invariant measures associated to affine iterated function systems. We present various conditions under which the existence of a Hadamard pair implies the existence of a spectrum for the fractal measure. This solves a conjecture proposed by Dorin Dutkay and Palle Jorgensen, in several special cases in dimension 2.