Higher order Hilbert-Schmidt Hankel forms and tensors of analytical kernels
Higher order Hilbert-Schmidt Hankel forms and tensors of analytical kernels
The symbols of $n^{\hbox{th}}$-order Hankel forms defined on the product of certain reproducing kernel Hilbert spaces $H(k_{i})$, $i=1,2$, in the Hilbert-Schmidt class are shown to coincide with the orthogonal complement in $H(k_{1})\otimes H(k_{2})$ of the ideal of polynomials which vanish up to order $n$ along the diagonal. For tensor products …