On the Positive-Definiteness of an Anisotropic Operator

Charles E. Baker

We study the positive-definiteness of a family of $L^2(\mathbf{R})$ integral operators with kernel $K_{t,a}(x,y)=(1+(x-y{)}^2+a(x^2+y^2{)}^t{)}^{-1}$, with $t>0$ and $a > 0…