Memorias de investigación
Research Publications in journals:
Knit product of finite groups and sampling
Year:2019
Research Areas
  • Group theory,
  • Mathematical analysis
Information
Abstract
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 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.
International
Si
JCR
Si
Title
Mediterranean Journal of Mathematics
ISBN
1660-5446
Impact factor JCR
1,216
Impact info
Volume
16
10.1007/s00009-019-1417-8
Journal number
146
From page
1
To page
16
Month
SIN MES
Ranking
Participants
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Centro o Instituto I+D+i: Centro de I+d+i en Procesado de la Información y Telecomunicaciones
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones