Proves that product-form self-similar measures μ_{M,D} are spectral with model spectrum Λ and completely settles two spectral eigenvalue problems for scalings of spectra.
Dai, When does a Bernoulli convolution admit a spectrum? Adv
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Derives necessary and sufficient conditions for a class of planar Sierpinski self-affine measures to possess infinite orthogonal exponentials or be spectral measures when scaling factors are equal, and to be spectral when unequal under restricted digits.
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The spectral eigenvalues of a class of product-form self-similar spectral measure
Proves that product-form self-similar measures μ_{M,D} are spectral with model spectrum Λ and completely settles two spectral eigenvalue problems for scalings of spectra.
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On the Spectral Properties of a Class of Planar Sierpinski Self-Affine Measures
Derives necessary and sufficient conditions for a class of planar Sierpinski self-affine measures to possess infinite orthogonal exponentials or be spectral measures when scaling factors are equal, and to be spectral when unequal under restricted digits.