17 citations · 101 across the 37 of their papers we have counts for
8 papers · 1 filter
Transfer Operators, Induced Probability Spaces, and Random Walk Models
Palle Jorgensen, Feng Tian
We study a family of discrete-time random-walk models. The starting point is a fixed generalized transfer operator subject to a set of axioms, and a given endomorphism in a com…
Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications
Palle Jorgensen, Erin Pearse, Feng Tian
Our main theorem is in the generality of the axioms of Hilbert space, and the theory of unbounded operators. Consider two Hilbert spaces such that their intersection contains a fix…
Extensions of Positive Definite Functions: Applications and Their Harmonic Analysis
Palle Jorgensen, Steen Pedersen, Feng Tian
We study two classes of extension problems, and their interconnections: (i) Extension of positive definite (p.d.) continuous functions defined on subsets in locally compact groups…
Induced representations arising from a character with finite orbit in a semidirect product
Palle Jorgensen, Feng Tian
Making use of a unified approach to certain classes of induced representations, we establish here a number of detailed spectral theoretic decomposition results. They apply to speci…
Infinite weighted graphs with bounded resistance metric
Palle Jorgensen, Feng Tian
We consider infinite weighted graphs , i.e., sets of vertices , and edges assumed countable infinite. An assignment of weights is a positive symmetric function on …
Generalized Gramians: Creating frame vectors in maximal subspaces
Palle Jorgensen, Feng Tian
A frame is a system of vectors in Hilbert space with properties which allow one to write algorithms for the two operations, analysis and synthesis, relative to $S…
Discrete reproducing kernel Hilbert spaces: Sampling and distribution of Dirac-masses
Palle Jorgensen, Feng Tian
We study reproducing kernels, and associated reproducing kernel Hilbert spaces (RKHSs) over infinite, discrete and countable sets . In this setting we analyze in d…
Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions
Palle Jorgensen, Feng Tian
We study kernel functions, and associated reproducing kernel Hilbert spaces over infinite, discrete and countable sets . Numerical analysis builds discrete models…