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

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.