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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 and Hernández Medina, Miguel Ángel and Pérez Villalón, Gerardo (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 |
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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 |
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 |
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| DC Identifier: | http://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 |
