<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-27T13:08:08Z</responseDate><request verb="GetRecord" identifier="oai:uvadoc.uva.es:10324/78385" metadataPrefix="dim">https://uvadoc.uva.es/oai/request</request><GetRecord><record><header><identifier>oai:uvadoc.uva.es:10324/78385</identifier><datestamp>2025-10-07T19:03:04Z</datestamp><setSpec>com_10324_38</setSpec><setSpec>col_10324_852</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
<dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="es" authority="4b4c74d03c23d9a0" confidence="600" orcid_id="0000-0002-6001-3829">Durán Martín, Ángel</dim:field>
<dim:field mdschema="dc" element="contributor" qualifier="author" authority="a5ebad88-2399-438b-850b-be9a3c9f77d9" confidence="600" orcid_id="">García-Lago Riego, Carlos</dim:field>
<dim:field mdschema="dc" element="contributor" qualifier="editor" lang="es" authority="EDUVA45" confidence="600" orcid_id="">Universidad de Valladolid. Facultad de Ciencias</dim:field>
<dim:field mdschema="dc" element="date" qualifier="accessioned">2025-10-07T08:38:41Z</dim:field>
<dim:field mdschema="dc" element="date" qualifier="available">2025-10-07T08:38:41Z</dim:field>
<dim:field mdschema="dc" element="date" qualifier="issued">2025</dim:field>
<dim:field mdschema="dc" element="identifier" qualifier="uri">https://uvadoc.uva.es/handle/10324/78385</dim:field>
<dim:field mdschema="dc" element="description" qualifier="abstract" lang="es">Las wavelets permiten descomponer una señal en sus diferentes componentes de frecuencias y estudiar cada uno de estos componentes con una&#xd;
resolución adecuada a su escala. Este trabajo construye la ondícula basada en el sistema de Haar. Se proporciona una explicación de los algoritmos de&#xd;
descomposición y de reconstrucción, que son la base de la transformada discreta de Haar, también explicada en detalle. En la última sección, se&#xd;
presentan varias implementaciones y ejemplos tanto en una como en dos dimensiones.</dim:field>
<dim:field mdschema="dc" element="description" qualifier="abstract" lang="es">Wavelets allow to decompose a signal into different frequency components in order&#xd;
to study each of these components with a resolution according to its scale. This work&#xd;
constructs the wavelet based on the Haar system. It provides an explanation of the&#xd;
decomposition and reconstruction algorithms, which are the basis of the discrete Haar&#xd;
transformation, also explained in detail. In the last section, several implementations and&#xd;
examples in both one and two dimensions are presented.</dim:field>
<dim:field mdschema="dc" element="description" qualifier="sponsorship" lang="es">Departamento de Matemática Aplicada</dim:field>
<dim:field mdschema="dc" element="description" qualifier="degree" lang="es">Grado en Matemáticas</dim:field>
<dim:field mdschema="dc" element="format" qualifier="mimetype" lang="es">application/pdf</dim:field>
<dim:field mdschema="dc" element="language" qualifier="iso" lang="es">spa</dim:field>
<dim:field mdschema="dc" element="rights" qualifier="accessRights" lang="es">info:eu-repo/semantics/openAccess</dim:field>
<dim:field mdschema="dc" element="rights" qualifier="uri" lang="*">http://creativecommons.org/licenses/by-nc-nd/4.0/</dim:field>
<dim:field mdschema="dc" element="rights" lang="*">Attribution-NonCommercial-NoDerivatives 4.0 Internacional</dim:field>
<dim:field mdschema="dc" element="subject" qualifier="classification" lang="es">Sistema de Haar</dim:field>
<dim:field mdschema="dc" element="subject" qualifier="classification" lang="es">Transformada discreta de Haar</dim:field>
<dim:field mdschema="dc" element="subject" qualifier="classification" lang="es">Análisis multiresolución</dim:field>
<dim:field mdschema="dc" element="title" lang="es">El sistema de Haar y sus aplicaciones</dim:field>
<dim:field mdschema="dc" element="type" lang="es">info:eu-repo/semantics/bachelorThesis</dim:field>
</dim:dim></metadata></record></GetRecord></OAI-PMH>