<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332024000200167</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v31i2.56295</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Sobre algunos operadores lineales en análisis de Clifford]]></article-title>
<article-title xml:lang="en"><![CDATA[On some linear operators in Clifford analysis]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Santiesteban]]></surname>
<given-names><![CDATA[Daniel Alfonso]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Guerrero Facultad de Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<volume>31</volume>
<numero>2</numero>
<fpage>167</fpage>
<lpage>193</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332024000200167&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332024000200167&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332024000200167&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen A finales de los años 70, el término análisis de Clifford fue empleado por primera vez por el matemático norteamericano John Ryan. Han pasado varias décadas y esta autónoma disciplina en el análisis matemático resulta sumamente efectiva para reescribir muchas de las ecuaciones de la física matemática. En el presente artículo se obtendrán algunos resultados interesantes sobre operadores lineales que se relacionan con espacios funcionales que surgen específicamente en álgebras de Clifford. La conexión de algunos de estos operadores con el conocido sistema de Lamé-Navier en elasticidad lineal posibilita que se estudien propiedades esenciales y generalizaciones naturales a altas dimensiones. Al finalizar, se considerarán nuevos operadores de Dirac construidos con bases ortonormales arbitrarias del espacio euclidiano.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In the late 1970s, the term Clifford Analysis was first used by the American mathematician John Ryan. Several decades have passed and this autonomous discipline in mathematical analysis has proven to be extremely effective in rewriting many of the equations of mathematical physics. In this article we will obtain some interesting results on linear operators that are related to functional spaces that arise specifically in Clifford algebras. The connection of some of these operators with the well-known Lamé-Navier system in Linear Elasticity makes it possible to study essential properties and natural generalizations to high dimensions. At the end, new Dirac operators constructed with arbitrary orthonormal bases of Euclidean space will be considered.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Operadores lineales]]></kwd>
<kwd lng="es"><![CDATA[Álgebras de Clifford]]></kwd>
<kwd lng="es"><![CDATA[Operadores de Dirac.]]></kwd>
<kwd lng="en"><![CDATA[Linear operators]]></kwd>
<kwd lng="en"><![CDATA[Clifford algebras]]></kwd>
<kwd lng="en"><![CDATA[Dirac operators.]]></kwd>
</kwd-group>
</article-meta>
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