27 citations · 52 across the 4 of their papers we have counts for
4 papers
Nonabelian harmonic analysis and functional equations on compact groups
Jinpeng An, Dilian Yang
Making use of nonabelian harmonic analysis and representation theory, we solve the functional equation on arbitrary compa…
Representations of Higher Rank Graph Algebras
Kenneth R. Davidson, Dilian Yang
Let $\Fth$ be a $\Bk$-graph on a single vertex. We show that every irreducible atomic -representation is the minimal -dilation of a group construction representation. It foll…
Dilation Theory for Rank 2 Graph Algebras
Kenneth R. Davidson, Stephen C. Power, Dilian Yang
An analysis is given of -representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_θ$ and $\A_u$ which are associated with…
Atomic Representations of Rank 2 Graph Algebras
Kenneth R. Davidson, Stephen C. Power, Dilian Yang
We provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a dire…