Factorizing Kernel Operators

Factorizing Multivariate Function Classes

The mathematical framework for factorizing equivalence classes of multivariate functions is formulated in this paper. Independent component analysis is shown to be a special case of this decomposition. Using only the local geometric structure of a class representative, we derive an analytic solution for the factorization. We demonstrate the factorization solution with numerical experiments and ...

Integral Operators Induced by the Fock Kernel

We study the L boundedness and find the norm of a class of integral operators induced by the reproducing kernel of Fock spaces over C.

On Kernel Representation of Linear Operators

Kernel Asymptotics of Exotic Second-Order Operators

The Navier–Lamé operator of classical elasticity, μ∆v+(λ+μ)∇(∇·v), is the simplest example of a linear differential operator whose second-order terms involve a coupling among the components of a vector-valued function. Similar operators on Riemannian manifolds arise in conformal geometry and in quantum gravity. (In the latter context they have come to be called “nonminimal”, but “exotic” is pro...

Degenerate Hypoelliptic Operators and the Gaussian Kernel