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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.
Title: | Sampling associated with a unitary representation of a semi-direct product of groups: A filter bank approach |
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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 |
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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.
Item ID: | 64002 |
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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 |