Asymptotic Behavior of Eigenvalues of Certain Integral Operators


Milutin Dostanić


We find exact asymptotic behavior of positive and negative eigenvalues of the operator $\int_\Omega k(x-y)a(y)\cdot dy$, where $k$ is a real radial nonhomogenous function (satisfying some aditional condition) and $a$ is a continuous function changing sign on $\Omega\subset R^m$.