2019/09/13 by Malikiosis, Romanos Diogenes, Oussa, Vignon
#15A15 #20C15 #42C15 #FOS: Mathematics #Functional Analysis (math.FA) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1909.06223
We present a new infinite family of full spark frames in finite dimensions arising from a unitary group representation, where the underlying group is the semi-direct product of a cyclic group by a group of automorphisms. The only previously known algebraically constructed infinite families were the harmonic, Gabor and Dihedral frames. Our construction hinges on a theorem that requires no group structure. Additionally, we illustrate our results by providing explicit constructions of full spark frames.