02-74 Denis Krutikov

Asymptotics of the Fourier transform of the spectral measure for Schr\"odinger operators with bounded and unbounded sparse potentials (84K, latex2e) Feb 18, 02

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Abstract. We study the pointwise behavior of the Fourier transform of the spectral measure for discrete one-dimensional Schr\"odinger operators with unbounded sparse potentials, particularly with the potentials of the special type, which give rise to the spectra with Hausdorff dimensionality between $1/2$ and $1$. Operators with bounded sparse potentials are also considered.

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