Zobrazeno 1 - 10 of 30 pro vyhledávání: '"M. A. Hernández-Medina"'
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Akademický článek
On Some Sampling-Related Frames in U-Invariant Spaces
Autor: H. R. Fernández-Morales, A. G. García, M. A. Hernández-Medina, M. J. Muñoz-Bouzo
Publikováno v: Abstract and Applied Analysis, Vol 2013 (2013)
This paper is concerned with the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space ℋ where U denotes an unitary operator defined on ℋ; besides, the dual frames having the same form are also found. Thi
Externí odkaz: https://doaj.org/article/6ddb7a4718b546b7824046c900c8018c
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2
Characterizing the Spatial Distribution of Geolocated Categorical Values
Autor: Pedro J. Zufiria, M. A. Hernández-Medina
Publikováno v: International Journal of Applied Physics and Mathematics, ISSN 2010-362X, 2019-01, Vol. 9, No. 1
Archivo Digital UPM
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We analyze the existence of some regularities in the spatial distribution of labelled individuals. Several indexes for measuring the relationship between the non-ordered categorical variable and the geolocation variables are evaluated together with a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e94257b19d9f8bfc26485a080158245a
https://doi.org/10.17706/ijapm.2019.9.1.47-53
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3
Convolution Systems on Discrete Abelian Groups as a Unifying Strategy in Sampling Theory
Autor: Antonio G. García, M. A. Hernández-Medina, G. Pérez-Villalón
Publikováno v: e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
A regular sampling theory in a multiply generated unitary invariant subspace of a separable Hilbert space $\mathcal{H}$ is proposed. This subspace is associated to a unitary representation of a countable discrete abelian group $G$ on $\mathcal{H}$. T
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec937bfed87d975c4aa7fd4fd08ee15b
https://doi.org/10.1007/s00025-020-1164-y
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4
Knit product of finite groups and sampling
Autor: Alberto Ibort, M. A. Hernández-Medina, Antonio G. García
Publikováno v: Mediterranean Journal of Mathematics, ISSN 1660-5446, 2019-10, Vol. 16, No. 146
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Archivo Digital UPM
Universidad Politécnica de Madrid
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
A finite sampling theory associated with a unitary representation of a finite non-abelian group \({\mathbf {G}}\) on a Hilbert space is established. The non-abelian group \({\mathbf {G}}\) is a knit product \({\mathbf {N}}\bowtie {\mathbf {H}}\) of t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09c10970eb6ed7a66fa0ecff62a15d4e
https://hdl.handle.net/10016/32507
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5
Sampling Associated with a Unitary Representation of a Semi-Direct Product of Groups: A Filter Bank Approach
Autor: Antonio G. García, Gerardo Pérez-Villalón, M. A. Hernández-Medina
Publikováno v: Symmetry
Volume 11
Issue 4
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Symmetry-Basel, ISSN 2073-8994, 2019-04-12, Vol. 11, No. 4
Symmetry, Vol 11, Iss 4, p 529 (2019)
Archivo Digital UPM
Universidad Politécnica de Madrid
This article belongs to the Special Issue New trends on Symmetry and Topology in Quantum Mechanics An abstract sampling theory associated with a unitary representation of a countable discrete non abelian group G, which is a semi-direct product of gro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d4d4e8aff54c6f8df763cfd7a8560c4
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6
Towards a Quantum Sampling Theory: The Case of Finite Groups
Autor: M. A. Hernández-Medina, Alberto Ibort, Antonio G. García
Publikováno v: Springer Proceedings in Physics ISBN: 9783030247478
Nyquist-Shannon sampling theorem, instrumental in classical telecommunication technologies, is extended to quantum systems supporting a unitary representation of a finite group G. Two main ideas from the classical theory having natural counterparts i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d7d3d90f19964064efaa3d786e8deb6f
https://doi.org/10.1007/978-3-030-24748-5_11
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7
Generalized sampling: From shift-invariant to U-invariant spaces
Autor: M. A. Hernández-Medina, Antonio G. García, H. R. Fernández-Morales, María José Muñoz-Bouzo
Publikováno v: Analysis and Applications, ISSN 0219-5305, 2015-05, Vol. 13, No. 3
Archivo Digital UPM
Universidad Politécnica de Madrid
The aim of this article is to derive a sampling theory in U-invariant subspaces of a separable Hilbert space ℋ where U denotes a unitary operator defined on ℋ. To this end, we use some special dual frames for L2(0, 1), and the fact that any U-inv
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55012491d550221533207949d385bf8e
https://doi.org/10.1142/s0219530514500213
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8
A New Technique Based on Voronoi Tessellation to Assess the Space-Dependence of Categorical Variables
Autor: M. A. Hernández-Medina, Pedro J. Zufiria
Publikováno v: Entropy
Volume 21
Issue 8
Entropy, ISSN 1099-4300, 2019-08, Vol. 21, No. 774
Archivo Digital UPM
Universidad Politécnica de Madrid
Entropy, Vol 21, Iss 8, p 774 (2019)
Based on a sample of geolocated elements, each of them labeled with a (not necessarily ordered) categorical feature, several indexes for assessing the relationship between the geolocation variables (latitude and longitude) and the categorical variabl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66253c2598da036ca339cfb95eaca0d3
https://doi.org/10.3390/e21080774
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9
Sampling in unitary invariant subspaces associated to LCA groups
Autor: M. A. Hernández-Medina, Gerardo Pérez-Villalón, Antonio G. García
Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
In this paper a sampling theory for unitary invariant subspaces associated to locally compact abelian (LCA) groups is deduced. Working in the LCA group context allows to obtain, in a unified way, sampling results valid for a wide range of problems wh
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9473c893a82f8d9ef03f08bf83b4794
http://arxiv.org/abs/1605.04127
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10
Filter banks on discrete abelian groups
Autor: M. A. Hernández-Medina, Gerardo Pérez-Villalón, Antonio G. García
Publikováno v: International Journal of Wavelets, Multiresolution and Information Processing. 16:1850029
In this work, we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multi-dimensional or cyclic filter banks as well as filter banks for signals in [Formula: see text] or [Formula: see te
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fde5078ad60058779d0df774f7f641d9
https://doi.org/10.1142/s0219691318500297
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