Research Publications in journals:
Sampling Associated with a Unitary Representation of a Semi-Direct Product of Groups: A Filter Bank Approach
Year:2019
Research Areas
- Mathematical analysis,
- Transformations and operational calculus,
- Abstract harmonic analysis
Information
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Abstract
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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. | |
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International
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Si |
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JCR
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Si |
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Title
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Symmetry-Basel |
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ISBN
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2073-8994 |
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Impact factor JCR
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2,645 |
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Impact info
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Volume
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11 |
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10.3390/sym11040529 |
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Journal number
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529 |
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From page
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1 |
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To page
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15 |
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Month
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SIN MES |
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Ranking
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Open Access publication
Participants
- Autor: Miguel Angel Hernandez Medina UPM
Research Group, Departaments and Institutes related
- Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
- Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones
- Centro o Instituto I+D+i: Centro de I+d+i en Procesado de la Información y Telecomunicaciones