In this work, we consider finite bandwidth reproducing kernel Hilbert spaces which have orthonormal bases of the form $f_n(z)=z^n \prod_{j=1}^J \left( 1 - a_{n}w_j z \right)$, where $w_1 ,w_2, \ldots w_J $ are distinct points on circle $\mathbb{T}$ and $\{ a_n \}$ is a sequence complex numbers with limit $1$. We provide general conditions based matrix recursion that guarantee such contain funct...

We show that polynomials do not belong to the reproducing kernel Hilbert space of infinitely differentiable translation-invariant kernels whose spectral measures have moments corresponding a det...

Let H be a reproducing kernel Hilbert space of functions on set X . We study the problem finding minimal geodesic Grassmann manifold that joins two subspaces consisting which vanish given finite subsets establish necessary and sufficient condition for existence uniqueness geodesics, we then analyze it in examples. discuss relation distance with other known metrics when mentioned are singletons....