Abstract
The basis results of this paper giver asymptotic formulas and order of magnitude estimates for the socalled Titchmarsh-Weyl m-function of the equation (0.2) which are valid also for quite irregular coefficients. As a consequence asymptotic results are obtained for many other spectral quantities, e.g. the eigen-value distribution, Green's function, the spectral function and the integral kernels of the spectral projectors. A formula for the radius of the ‘Weyl disk’ is also given. The classical ‘right-definite’ case is considered as well as the ‘left-definite’ case.
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