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Sampling associated with a unitary representation of a semi-direct product of groups: A filter bank approach
Citation
García García, Antonio, Hernández Medina, Miguel Ángel 
ORCID: https://orcid.org/0000-0002-0722-1055 and Pérez Villalón, Gerardo ORCID: https://orcid.org/0000-0003-2061-917X
(2019).
Sampling associated with a unitary representation of a semi-direct product of groups: A filter bank approach.
"Symmetry-Basel", v. 11
(n. 4);
pp. 1-15.
ISSN 2073-8994.
https://doi.org/10.3390/sym11040529.
Description
| Title: | Sampling associated with a unitary representation of a semi-direct product of groups: A filter bank approach |
|---|---|
| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Symmetry-Basel |
| Date: | 12 April 2019 |
| ISSN: | 2073-8994 |
| Volume: | 11 |
| Subjects: | |
| Freetext Keywords: | semi-direct product of groups; unitary representation of a group; LCA groups; dualframes; sampling expansions |
| Faculty: | E.T.S.I. Telecomunicación (UPM) |
| Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
An abstract sampling theory associated with a unitary representation of a countable discrete non abelian group G, which is a semi-direct product of groups, on a separable Hilbert space is studied. A suitable expression of the data samples, the use of a filter bank formalism and the corresponding frame analysis allow for fixing the mathematical problem to be solved: the search of appropriate dual frames for l2(G). An example involving crystallographic groups illustrates the obtained results by using either average or pointwise samples.
Funding Projects
Type
Code
Acronym
Leader
Title
Government of Spain
MTM2017-84098-P
MINECO
Unspecified
Fundamentos matemáticos de las tecnologías de la información cuánticas: convexidad, muestreo y algebras de operadores
More information
| Item ID: | 64002 |
|---|---|
| DC Identifier: | https://oa.upm.es/64002/ |
| OAI Identifier: | oai:oa.upm.es:64002 |
| DOI: | 10.3390/sym11040529 |
| Official URL: | https://www.mdpi.com/2073-8994/11/4/529 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 05 Oct 2020 14:32 |
| Last Modified: | 05 Oct 2020 14:32 |
