Publications (37)
Optimal K dual frames and pairs in the presence of erasures
Shankhadeep Mondal, Deguang Han, R. N. Mohapatra
This paper explores the structure of optimal K-dual frames for a given K-frame and optimal K-dual pairs, within the context of erasures which occur during the transmission of frame…
Some Structural Properties of Homomorphism Dilation Systems for Linear Maps
Deguang Han, David R. Larson, Bei Liu +1
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded homomorphism dilations for bounded linear…
A duality principle for groups II: Multi-frames meet super-frames
Radu Balan, Dorin Ervin Dutkay, Deguang Han +2
The duality principle for group representations developed in \cite{DHL-JFA, HL_BLM} exhibits a fact that the well-known duality principle in Gabor analysis is not an isolated incid…
On common fundamental domains
Dorin Ervin Dutkay, Palle E. T. Jorgensen, Deguang Han +1
We find conditions under which two measure preserving actions of two groups on the same space have a common fundamental domain. Our results apply to commuting actions with separate…
Operator-Valued Measures, Dilations, and the Theory of Frames
Deguang Han, David R. Larson, Bei Liu +1
We develop elements of a general dilation theory for operator-valued measures and bounded linear maps between operator algebras that are not necessarily completely-bounded. We prov…
A Duality principle for groups
Dorin Ervin Dutkay, Deguang Han, David Larson
The duality principle for Gabor frames states that a Gabor sequence obtained by a time-frequency lattice is a frame for if and only if the associated adjoint Gabor…