Full Spark Frames in the Orbit of a Representation

Autor:	Malikiosis, Romanos Diogenes, Oussa, Vignon
Rok vydání:	2019
Předmět:	Mathematics - Representation Theory Mathematics - Functional Analysis 42C15 15A15 20C15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 25 pages; incorporated referees' remarks
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.06223 Zobrazit plný text záznamu View this record from Arxiv