17 citations · 101 across the 37 of their papers we have counts for
4 papers · 1 filter
Positive definite kernels and boundary spaces
Palle Jorgensen, Feng Tian
We consider a kernel based harmonic analysis of "boundary," and boundary representations. Our setting is general: certain classes of positive definite kernels. Our theorems extend…
Dynamical properties of endomorphisms, multiresolutions, similarity-and orthogonality relations
Palle Jorgensen, Feng Tian
We study positive transfer operators in the setting of general measure spaces . For each , we compute associated path-space probability spaces $\…
Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces
Palle Jorgensen, Feng Tian
In a general context of positive definite kernels , we develop tools and algorithms for sampling in reproducing kernel Hilbert space (RKHS). With reference to thes…
Representations of the canonical commutation relations--algebra and the operators of stochastic calculus
Palle Jorgensen, Feng Tian
We study a family of representations of the canonical commutation relations (CCR)-algebra (an infinite number of degrees of freedom), which we call admissible. The family of admiss…