RT Journal Article
T1 Knit product of finite groups and sampling
A1 García García, Antonio
A1 Hernández Medina, Miguel Ángel
A1 Ibort Latre, Luis Alberto
AB A finite sampling theory associated with a unitary representation of a finite non-abelian group G on a Hilbert space is established. The non-abelian group G is a knit product N⋈H of two finite subgroups N and H where at least N or H is abelian. Sampling formulas where the samples are indexed by either N or H are obtained. Using suitable expressions for the involved samples, the problem is reduced to obtain dual frames in the Hilbert space ℓ2(G) having a unitary invariance property; this is done by using matrix analysis techniques. An example involving dihedral groups illustrates the obtained sampling results.
PB Elsevier
SN 1660-5446
YR 2019
FD 2019-12
LK https://hdl.handle.net/10016/32507
UL https://hdl.handle.net/10016/32507
LA eng
DS e-Archivo
RD 1 sept. 2024