17 citations · 101 across the 37 of their papers we have counts for
7 papers · 1 filter
Noncommutative analysis, Multivariable spectral theory for operators in Hilbert space, Probability, and Unitary Representations
Palle Jorgensen, Feng Tian
Over the decades, Functional Analysis has been enriched and inspired on account of demands from neighboring fields, within mathematics, harmonic analysis (wavelets and signal proce…
Unbounded operators, Lie algebras, and local representations
Palle Jorgensen, Feng Tian
We prove a number of results on integrability and extendability of Lie algebras of unbounded skew-symmetric operators with common dense domain in Hilbert space. By integrability fo…
Spectra of Some Weighted Composition Operators on
Carl Cowen, Eungil Ko, Derek Thompson +1
We completely characterize the spectrum of a weighted composition operator on when has Denjoy-Wolff point with , the iterates,…
Frames and Factorization of Graph Laplacians
Palle Jorgensen, Feng Tian
Using functions from electrical networks (graphs with resistors assigned to edges), we prove existence (with explicit formulas) of a canonical Parseval frame in the energy Hilbert…
Infinite networks and variation of conductance functions in discrete Laplacians
Palle Jorgensen, Feng Tian
For a given infinite connected graph and an arbitrary but fixed conductance function , we study an associated graph Laplacian ; it is a generalized difference o…
von Neumann indices and classes of positive definite functions
Palle Jorgensen, Feng Tian
With view to applications, we establish a correspondence between two problems: (i) the problem of finding continuous positive definite extensions of functions which are defined…